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Finding the Fourth Proportional to 460,814, 690,677.92 and 207,798.24

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Solution

The fourth proportional to 460,814, 690,677.92 and 207,798.24 is: 311,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,814 : 690,677.92 = 207,798.24 : x
  2. Step 2: Convert to fraction form
    460,814/690,677.92 = 207,798.24/x
  3. Step 3: Cross multiply
    460,814x = 690,677.92 × 207,798.24
  4. Step 4: Simplify right side
    460,814x = 143,521,656,182.86
  5. Step 5: Solve for x
    x = 143,521,656,182.86/460,814
  6. Step 6: Final answer
    x = 311,452.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.