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Finding the Fourth Proportional to 690,113.64, 952,400.33 and 418,205.32

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Solution

The fourth proportional to 690,113.64, 952,400.33 and 418,205.32 is: 577,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,113.64 : 952,400.33 = 418,205.32 : x
  2. Step 2: Convert to fraction form
    690,113.64/952,400.33 = 418,205.32/x
  3. Step 3: Cross multiply
    690,113.64x = 952,400.33 × 418,205.32
  4. Step 4: Simplify right side
    690,113.64x = 398,298,884,775.76
  5. Step 5: Solve for x
    x = 398,298,884,775.76/690,113.64
  6. Step 6: Final answer
    x = 577,149.71

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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.