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Finding the Fourth Proportional to 538,532.76, 806,913.36 and 426,930.24

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Solution

The fourth proportional to 538,532.76, 806,913.36 and 426,930.24 is: 639,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,532.76 : 806,913.36 = 426,930.24 : x
  2. Step 2: Convert to fraction form
    538,532.76/806,913.36 = 426,930.24/x
  3. Step 3: Cross multiply
    538,532.76x = 806,913.36 × 426,930.24
  4. Step 4: Simplify right side
    538,532.76x = 344,495,714,444.01
  5. Step 5: Solve for x
    x = 344,495,714,444.01/538,532.76
  6. Step 6: Final answer
    x = 639,693.14

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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.