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Finding the Fourth Proportional to 768,735,970.40, 1,153,103,955.60 and 761,569,608.80

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Solution

The fourth proportional to 768,735,970.40, 1,153,103,955.60 and 761,569,608.80 is: 1,142,354,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,735,970.40 : 1,153,103,955.60 = 761,569,608.80 : x
  2. Step 2: Convert to fraction form
    768,735,970.40/1,153,103,955.60 = 761,569,608.80/x
  3. Step 3: Cross multiply
    768,735,970.40x = 1,153,103,955.60 × 761,569,608.80
  4. Step 4: Simplify right side
    768,735,970.40x = 878,168,928,372,024,448
  5. Step 5: Solve for x
    x = 878,168,928,372,024,448/768,735,970.40
  6. Step 6: Final answer
    x = 1,142,354,413.20

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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.