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Finding the Fourth Proportional to 772,264.32, 1,065,753.60 and 432,720

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Solution

The fourth proportional to 772,264.32, 1,065,753.60 and 432,720 is: 597,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,264.32 : 1,065,753.60 = 432,720 : x
  2. Step 2: Convert to fraction form
    772,264.32/1,065,753.60 = 432,720/x
  3. Step 3: Cross multiply
    772,264.32x = 1,065,753.60 × 432,720
  4. Step 4: Simplify right side
    772,264.32x = 461,172,897,792.00
  5. Step 5: Solve for x
    x = 461,172,897,792.00/772,264.32
  6. Step 6: Final answer
    x = 597,169.76

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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.