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Finding the Fourth Proportional to 578,385.68, 867,728.10 and 338,702

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Solution

The fourth proportional to 578,385.68, 867,728.10 and 338,702 is: 508,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,385.68 : 867,728.10 = 338,702 : x
  2. Step 2: Convert to fraction form
    578,385.68/867,728.10 = 338,702/x
  3. Step 3: Cross multiply
    578,385.68x = 867,728.10 × 338,702
  4. Step 4: Simplify right side
    578,385.68x = 293,901,242,926.20
  5. Step 5: Solve for x
    x = 293,901,242,926.20/578,385.68
  6. Step 6: Final answer
    x = 508,140.59

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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.