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Finding the Fourth Proportional to 516,291.84, 712,498.68 and 289,942.20

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Solution

The fourth proportional to 516,291.84, 712,498.68 and 289,942.20 is: 400,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,291.84 : 712,498.68 = 289,942.20 : x
  2. Step 2: Convert to fraction form
    516,291.84/712,498.68 = 289,942.20/x
  3. Step 3: Cross multiply
    516,291.84x = 712,498.68 × 289,942.20
  4. Step 4: Simplify right side
    516,291.84x = 206,583,434,776.30
  5. Step 5: Solve for x
    x = 206,583,434,776.30/516,291.84
  6. Step 6: Final answer
    x = 400,129.19

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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.