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Finding the Fourth Proportional to 457,009.42, 631,876.92 and 400,258.12

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Solution

The fourth proportional to 457,009.42, 631,876.92 and 400,258.12 is: 553,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,009.42 : 631,876.92 = 400,258.12 : x
  2. Step 2: Convert to fraction form
    457,009.42/631,876.92 = 400,258.12/x
  3. Step 3: Cross multiply
    457,009.42x = 631,876.92 × 400,258.12
  4. Step 4: Simplify right side
    457,009.42x = 252,913,868,070.59
  5. Step 5: Solve for x
    x = 252,913,868,070.59/457,009.42
  6. Step 6: Final answer
    x = 553,410.62

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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.