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Finding the Fourth Proportional to 652,632.12, 979,051.86 and 278,658.36

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Solution

The fourth proportional to 652,632.12, 979,051.86 and 278,658.36 is: 418,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,632.12 : 979,051.86 = 278,658.36 : x
  2. Step 2: Convert to fraction form
    652,632.12/979,051.86 = 278,658.36/x
  3. Step 3: Cross multiply
    652,632.12x = 979,051.86 × 278,658.36
  4. Step 4: Simplify right side
    652,632.12x = 272,820,985,662.55
  5. Step 5: Solve for x
    x = 272,820,985,662.55/652,632.12
  6. Step 6: Final answer
    x = 418,031.81

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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.