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Finding the Fourth Proportional to 470,654.50, 649,504.17 and 258,686.50

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Solution

The fourth proportional to 470,654.50, 649,504.17 and 258,686.50 is: 356,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,654.50 : 649,504.17 = 258,686.50 : x
  2. Step 2: Convert to fraction form
    470,654.50/649,504.17 = 258,686.50/x
  3. Step 3: Cross multiply
    470,654.50x = 649,504.17 × 258,686.50
  4. Step 4: Simplify right side
    470,654.50x = 168,017,960,472.71
  5. Step 5: Solve for x
    x = 168,017,960,472.71/470,654.50
  6. Step 6: Final answer
    x = 356,987.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.