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Finding the Fourth Proportional to 719,446.95, 992,854.84 and 409,332.43

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Solution

The fourth proportional to 719,446.95, 992,854.84 and 409,332.43 is: 564,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,446.95 : 992,854.84 = 409,332.43 : x
  2. Step 2: Convert to fraction form
    719,446.95/992,854.84 = 409,332.43/x
  3. Step 3: Cross multiply
    719,446.95x = 992,854.84 × 409,332.43
  4. Step 4: Simplify right side
    719,446.95x = 406,407,684,729.94
  5. Step 5: Solve for x
    x = 406,407,684,729.94/719,446.95
  6. Step 6: Final answer
    x = 564,889.03

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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.