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Finding the Fourth Proportional to 768,735,969.40, 1,153,103,954.10 and 761,569,607.80

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Solution

The fourth proportional to 768,735,969.40, 1,153,103,954.10 and 761,569,607.80 is: 1,142,354,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,735,969.40 : 1,153,103,954.10 = 761,569,607.80 : x
  2. Step 2: Convert to fraction form
    768,735,969.40/1,153,103,954.10 = 761,569,607.80/x
  3. Step 3: Cross multiply
    768,735,969.40x = 1,153,103,954.10 × 761,569,607.80
  4. Step 4: Simplify right side
    768,735,969.40x = 878,168,926,076,566,016
  5. Step 5: Solve for x
    x = 878,168,926,076,566,016/768,735,969.40
  6. Step 6: Final answer
    x = 1,142,354,411.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.