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Finding the Fourth Proportional to 318,691.23, 478,038.02 and 119,009.49

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Solution

The fourth proportional to 318,691.23, 478,038.02 and 119,009.49 is: 178,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,691.23 : 478,038.02 = 119,009.49 : x
  2. Step 2: Convert to fraction form
    318,691.23/478,038.02 = 119,009.49/x
  3. Step 3: Cross multiply
    318,691.23x = 478,038.02 × 119,009.49
  4. Step 4: Simplify right side
    318,691.23x = 56,891,060,365.76
  5. Step 5: Solve for x
    x = 56,891,060,365.76/318,691.23
  6. Step 6: Final answer
    x = 178,514.67

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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.