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Finding the Fourth Proportional to 565,989.30, 781,022.52 and 311,356.98

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Solution

The fourth proportional to 565,989.30, 781,022.52 and 311,356.98 is: 429,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,989.30 : 781,022.52 = 311,356.98 : x
  2. Step 2: Convert to fraction form
    565,989.30/781,022.52 = 311,356.98/x
  3. Step 3: Cross multiply
    565,989.30x = 781,022.52 × 311,356.98
  4. Step 4: Simplify right side
    565,989.30x = 243,176,813,139.19
  5. Step 5: Solve for x
    x = 243,176,813,139.19/565,989.30
  6. Step 6: Final answer
    x = 429,649.13

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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.