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Finding the Fourth Proportional to 319,564.71, 478,890.16 and 234,658.76

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Solution

The fourth proportional to 319,564.71, 478,890.16 and 234,658.76 is: 351,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,564.71 : 478,890.16 = 234,658.76 : x
  2. Step 2: Convert to fraction form
    319,564.71/478,890.16 = 234,658.76/x
  3. Step 3: Cross multiply
    319,564.71x = 478,890.16 × 234,658.76
  4. Step 4: Simplify right side
    319,564.71x = 112,375,768,140.70
  5. Step 5: Solve for x
    x = 112,375,768,140.70/319,564.71
  6. Step 6: Final answer
    x = 351,652.62

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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.