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Finding the Fourth Proportional to 659,644.92, 910,311.76 and 357,838.92

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Solution

The fourth proportional to 659,644.92, 910,311.76 and 357,838.92 is: 493,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,644.92 : 910,311.76 = 357,838.92 : x
  2. Step 2: Convert to fraction form
    659,644.92/910,311.76 = 357,838.92/x
  3. Step 3: Cross multiply
    659,644.92x = 910,311.76 × 357,838.92
  4. Step 4: Simplify right side
    659,644.92x = 325,744,977,061.70
  5. Step 5: Solve for x
    x = 325,744,977,061.70/659,644.92
  6. Step 6: Final answer
    x = 493,818.67

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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.