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Finding the Fourth Proportional to 565,946, 781,116.40 and 324,390.48

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Solution

The fourth proportional to 565,946, 781,116.40 and 324,390.48 is: 447,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,946 : 781,116.40 = 324,390.48 : x
  2. Step 2: Convert to fraction form
    565,946/781,116.40 = 324,390.48/x
  3. Step 3: Cross multiply
    565,946x = 781,116.40 × 324,390.48
  4. Step 4: Simplify right side
    565,946x = 253,386,723,931.87
  5. Step 5: Solve for x
    x = 253,386,723,931.87/565,946
  6. Step 6: Final answer
    x = 447,722.44

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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.