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Finding the Fourth Proportional to 364,289.08, 502,721.10 and 203,154.30

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Solution

The fourth proportional to 364,289.08, 502,721.10 and 203,154.30 is: 280,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,289.08 : 502,721.10 = 203,154.30 : x
  2. Step 2: Convert to fraction form
    364,289.08/502,721.10 = 203,154.30/x
  3. Step 3: Cross multiply
    364,289.08x = 502,721.10 × 203,154.30
  4. Step 4: Simplify right side
    364,289.08x = 102,129,953,165.73
  5. Step 5: Solve for x
    x = 102,129,953,165.73/364,289.08
  6. Step 6: Final answer
    x = 280,354.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.