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Finding the Fourth Proportional to 456,410.30, 684,615.45 and 156,864.20

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Solution

The fourth proportional to 456,410.30, 684,615.45 and 156,864.20 is: 235,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,410.30 : 684,615.45 = 156,864.20 : x
  2. Step 2: Convert to fraction form
    456,410.30/684,615.45 = 156,864.20/x
  3. Step 3: Cross multiply
    456,410.30x = 684,615.45 × 156,864.20
  4. Step 4: Simplify right side
    456,410.30x = 107,391,654,871.89
  5. Step 5: Solve for x
    x = 107,391,654,871.89/456,410.30
  6. Step 6: Final answer
    x = 235,296.30

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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.