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Finding the Fourth Proportional to 690,059, 952,214.64 and 508,868.48

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Solution

The fourth proportional to 690,059, 952,214.64 and 508,868.48 is: 702,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,059 : 952,214.64 = 508,868.48 : x
  2. Step 2: Convert to fraction form
    690,059/952,214.64 = 508,868.48/x
  3. Step 3: Cross multiply
    690,059x = 952,214.64 × 508,868.48
  4. Step 4: Simplify right side
    690,059x = 484,552,016,490.55
  5. Step 5: Solve for x
    x = 484,552,016,490.55/690,059
  6. Step 6: Final answer
    x = 702,189.26

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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.