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Finding the Fourth Proportional to 516,424.43, 712,646.75 and 286,995.98

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Solution

The fourth proportional to 516,424.43, 712,646.75 and 286,995.98 is: 396,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,424.43 : 712,646.75 = 286,995.98 : x
  2. Step 2: Convert to fraction form
    516,424.43/712,646.75 = 286,995.98/x
  3. Step 3: Cross multiply
    516,424.43x = 712,646.75 × 286,995.98
  4. Step 4: Simplify right side
    516,424.43x = 204,526,749,564.32
  5. Step 5: Solve for x
    x = 204,526,749,564.32/516,424.43
  6. Step 6: Final answer
    x = 396,043.91

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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.