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Finding the Fourth Proportional to 516,401.34, 712,700.55 and 290,046.84

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Solution

The fourth proportional to 516,401.34, 712,700.55 and 290,046.84 is: 400,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,401.34 : 712,700.55 = 290,046.84 : x
  2. Step 2: Convert to fraction form
    516,401.34/712,700.55 = 290,046.84/x
  3. Step 3: Cross multiply
    516,401.34x = 712,700.55 × 290,046.84
  4. Step 4: Simplify right side
    516,401.34x = 206,716,542,393.76
  5. Step 5: Solve for x
    x = 206,716,542,393.76/516,401.34
  6. Step 6: Final answer
    x = 400,302.10

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Similar ratio
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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.