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Finding the Fourth Proportional to 285,431.20, 427,737.20 and 209,962.40

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Solution

The fourth proportional to 285,431.20, 427,737.20 and 209,962.40 is: 314,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,431.20 : 427,737.20 = 209,962.40 : x
  2. Step 2: Convert to fraction form
    285,431.20/427,737.20 = 209,962.40/x
  3. Step 3: Cross multiply
    285,431.20x = 427,737.20 × 209,962.40
  4. Step 4: Simplify right side
    285,431.20x = 89,808,729,081.28
  5. Step 5: Solve for x
    x = 89,808,729,081.28/285,431.20
  6. Step 6: Final answer
    x = 314,642.30

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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.