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Finding the Fourth Proportional to 521,639.46, 781,303.16 and 400,807.02

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Solution

The fourth proportional to 521,639.46, 781,303.16 and 400,807.02 is: 600,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,639.46 : 781,303.16 = 400,807.02 : x
  2. Step 2: Convert to fraction form
    521,639.46/781,303.16 = 400,807.02/x
  3. Step 3: Cross multiply
    521,639.46x = 781,303.16 × 400,807.02
  4. Step 4: Simplify right side
    521,639.46x = 313,151,791,276.18
  5. Step 5: Solve for x
    x = 313,151,791,276.18/521,639.46
  6. Step 6: Final answer
    x = 600,322.28

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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.