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Finding the Fourth Proportional to 516,395.88, 712,612.06 and 286,947.24

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Solution

The fourth proportional to 516,395.88, 712,612.06 and 286,947.24 is: 395,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,395.88 : 712,612.06 = 286,947.24 : x
  2. Step 2: Convert to fraction form
    516,395.88/712,612.06 = 286,947.24/x
  3. Step 3: Cross multiply
    516,395.88x = 712,612.06 × 286,947.24
  4. Step 4: Simplify right side
    516,395.88x = 204,482,063,807.71
  5. Step 5: Solve for x
    x = 204,482,063,807.71/516,395.88
  6. Step 6: Final answer
    x = 395,979.27

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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.