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Finding the Fourth Proportional to 457,871.60, 686,807.40 and 390,220.40

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Solution

The fourth proportional to 457,871.60, 686,807.40 and 390,220.40 is: 585,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,871.60 : 686,807.40 = 390,220.40 : x
  2. Step 2: Convert to fraction form
    457,871.60/686,807.40 = 390,220.40/x
  3. Step 3: Cross multiply
    457,871.60x = 686,807.40 × 390,220.40
  4. Step 4: Simplify right side
    457,871.60x = 268,006,258,350.96
  5. Step 5: Solve for x
    x = 268,006,258,350.96/457,871.60
  6. Step 6: Final answer
    x = 585,330.60

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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.