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Finding the Fourth Proportional to 978,658.20, 1,468,031.04 and 506,266.20

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Solution

The fourth proportional to 978,658.20, 1,468,031.04 and 506,266.20 is: 759,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,658.20 : 1,468,031.04 = 506,266.20 : x
  2. Step 2: Convert to fraction form
    978,658.20/1,468,031.04 = 506,266.20/x
  3. Step 3: Cross multiply
    978,658.20x = 1,468,031.04 × 506,266.20
  4. Step 4: Simplify right side
    978,658.20x = 743,214,496,102.85
  5. Step 5: Solve for x
    x = 743,214,496,102.85/978,658.20
  6. Step 6: Final answer
    x = 759,421.93

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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.