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Finding the Fourth Proportional to 517,480.50, 714,123.12 and 288,032.84

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Solution

The fourth proportional to 517,480.50, 714,123.12 and 288,032.84 is: 397,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,480.50 : 714,123.12 = 288,032.84 : x
  2. Step 2: Convert to fraction form
    517,480.50/714,123.12 = 288,032.84/x
  3. Step 3: Cross multiply
    517,480.50x = 714,123.12 × 288,032.84
  4. Step 4: Simplify right side
    517,480.50x = 205,690,910,363.26
  5. Step 5: Solve for x
    x = 205,690,910,363.26/517,480.50
  6. Step 6: Final answer
    x = 397,485.34

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1.5x scale

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.