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Finding the Fourth Proportional to 768,288.10, 1,060,209.80 and 424,116.64

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Solution

The fourth proportional to 768,288.10, 1,060,209.80 and 424,116.64 is: 585,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,288.10 : 1,060,209.80 = 424,116.64 : x
  2. Step 2: Convert to fraction form
    768,288.10/1,060,209.80 = 424,116.64/x
  3. Step 3: Cross multiply
    768,288.10x = 1,060,209.80 × 424,116.64
  4. Step 4: Simplify right side
    768,288.10x = 449,652,618,071.07
  5. Step 5: Solve for x
    x = 449,652,618,071.07/768,288.10
  6. Step 6: Final answer
    x = 585,265.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.