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Finding the Fourth Proportional to 690,065.94, 952,224.20 and 508,875.42

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Solution

The fourth proportional to 690,065.94, 952,224.20 and 508,875.42 is: 702,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,065.94 : 952,224.20 = 508,875.42 : x
  2. Step 2: Convert to fraction form
    690,065.94/952,224.20 = 508,875.42/x
  3. Step 3: Cross multiply
    690,065.94x = 952,224.20 × 508,875.42
  4. Step 4: Simplify right side
    690,065.94x = 484,563,487,164.79
  5. Step 5: Solve for x
    x = 484,563,487,164.79/690,065.94
  6. Step 6: Final answer
    x = 702,198.82

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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.