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Finding the Fourth Proportional to 242,556.40, 363,834.60 and 213,031.90

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Solution

The fourth proportional to 242,556.40, 363,834.60 and 213,031.90 is: 319,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,556.40 : 363,834.60 = 213,031.90 : x
  2. Step 2: Convert to fraction form
    242,556.40/363,834.60 = 213,031.90/x
  3. Step 3: Cross multiply
    242,556.40x = 363,834.60 × 213,031.90
  4. Step 4: Simplify right side
    242,556.40x = 77,508,376,123.74
  5. Step 5: Solve for x
    x = 77,508,376,123.74/242,556.40
  6. Step 6: Final answer
    x = 319,547.85

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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.