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Finding the Fourth Proportional to 288,001.70, 431,656.95 and 147,688.10

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Solution

The fourth proportional to 288,001.70, 431,656.95 and 147,688.10 is: 221,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.70 : 431,656.95 = 147,688.10 : x
  2. Step 2: Convert to fraction form
    288,001.70/431,656.95 = 147,688.10/x
  3. Step 3: Cross multiply
    288,001.70x = 431,656.95 × 147,688.10
  4. Step 4: Simplify right side
    288,001.70x = 63,750,594,797.30
  5. Step 5: Solve for x
    x = 63,750,594,797.30/288,001.70
  6. Step 6: Final answer
    x = 221,354.93

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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.