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Finding the Fourth Proportional to 302,502.30, 453,753.45 and 288,724.20

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Solution

The fourth proportional to 302,502.30, 453,753.45 and 288,724.20 is: 433,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,502.30 : 453,753.45 = 288,724.20 : x
  2. Step 2: Convert to fraction form
    302,502.30/453,753.45 = 288,724.20/x
  3. Step 3: Cross multiply
    302,502.30x = 453,753.45 × 288,724.20
  4. Step 4: Simplify right side
    302,502.30x = 131,009,601,848.49
  5. Step 5: Solve for x
    x = 131,009,601,848.49/302,502.30
  6. Step 6: Final answer
    x = 433,086.30

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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.