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Finding the Fourth Proportional to 426,658.60, 639,815.10 and 146,031.40

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Solution

The fourth proportional to 426,658.60, 639,815.10 and 146,031.40 is: 218,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,658.60 : 639,815.10 = 146,031.40 : x
  2. Step 2: Convert to fraction form
    426,658.60/639,815.10 = 146,031.40/x
  3. Step 3: Cross multiply
    426,658.60x = 639,815.10 × 146,031.40
  4. Step 4: Simplify right side
    426,658.60x = 93,433,094,794.14
  5. Step 5: Solve for x
    x = 93,433,094,794.14/426,658.60
  6. Step 6: Final answer
    x = 218,987.96

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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.