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Finding the Fourth Proportional to 319,230, 478,847.40 and 141,689.28

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Solution

The fourth proportional to 319,230, 478,847.40 and 141,689.28 is: 212,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,230 : 478,847.40 = 141,689.28 : x
  2. Step 2: Convert to fraction form
    319,230/478,847.40 = 141,689.28/x
  3. Step 3: Cross multiply
    319,230x = 478,847.40 × 141,689.28
  4. Step 4: Simplify right side
    319,230x = 67,847,543,335.87
  5. Step 5: Solve for x
    x = 67,847,543,335.87/319,230
  6. Step 6: Final answer
    x = 212,534.99

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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.