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Finding the Fourth Proportional to 516,074.86, 712,159.08 and 286,647.02

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Solution

The fourth proportional to 516,074.86, 712,159.08 and 286,647.02 is: 395,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,074.86 : 712,159.08 = 286,647.02 : x
  2. Step 2: Convert to fraction form
    516,074.86/712,159.08 = 286,647.02/x
  3. Step 3: Cross multiply
    516,074.86x = 712,159.08 × 286,647.02
  4. Step 4: Simplify right side
    516,074.86x = 204,138,278,047.94
  5. Step 5: Solve for x
    x = 204,138,278,047.94/516,074.86
  6. Step 6: Final answer
    x = 395,559.43

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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.