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Finding the Fourth Proportional to 288,059.40, 432,089.10 and 77,697.30

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Solution

The fourth proportional to 288,059.40, 432,089.10 and 77,697.30 is: 116,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,059.40 : 432,089.10 = 77,697.30 : x
  2. Step 2: Convert to fraction form
    288,059.40/432,089.10 = 77,697.30/x
  3. Step 3: Cross multiply
    288,059.40x = 432,089.10 × 77,697.30
  4. Step 4: Simplify right side
    288,059.40x = 33,572,156,429.43
  5. Step 5: Solve for x
    x = 33,572,156,429.43/288,059.40
  6. Step 6: Final answer
    x = 116,545.95

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1.5x scale

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.