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Finding the Fourth Proportional to 565,942, 781,110.88 and 324,386.48

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Solution

The fourth proportional to 565,942, 781,110.88 and 324,386.48 is: 447,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,942 : 781,110.88 = 324,386.48 : x
  2. Step 2: Convert to fraction form
    565,942/781,110.88 = 324,386.48/x
  3. Step 3: Cross multiply
    565,942x = 781,110.88 × 324,386.48
  4. Step 4: Simplify right side
    565,942x = 253,381,808,852.90
  5. Step 5: Solve for x
    x = 253,381,808,852.90/565,942
  6. Step 6: Final answer
    x = 447,716.92

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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.