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Finding the Fourth Proportional to 521,701.80, 781,386.30 and 402,988.20

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Solution

The fourth proportional to 521,701.80, 781,386.30 and 402,988.20 is: 603,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,701.80 : 781,386.30 = 402,988.20 : x
  2. Step 2: Convert to fraction form
    521,701.80/781,386.30 = 402,988.20/x
  3. Step 3: Cross multiply
    521,701.80x = 781,386.30 × 402,988.20
  4. Step 4: Simplify right side
    521,701.80x = 314,889,458,541.66
  5. Step 5: Solve for x
    x = 314,889,458,541.66/521,701.80
  6. Step 6: Final answer
    x = 603,581.32

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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.