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Finding the Fourth Proportional to 642,512.76, 887,070.64 and 413,468.01

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Solution

The fourth proportional to 642,512.76, 887,070.64 and 413,468.01 is: 570,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,512.76 : 887,070.64 = 413,468.01 : x
  2. Step 2: Convert to fraction form
    642,512.76/887,070.64 = 413,468.01/x
  3. Step 3: Cross multiply
    642,512.76x = 887,070.64 × 413,468.01
  4. Step 4: Simplify right side
    642,512.76x = 366,775,331,991.81
  5. Step 5: Solve for x
    x = 366,775,331,991.81/642,512.76
  6. Step 6: Final answer
    x = 570,845.21

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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.