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Finding the Fourth Proportional to 516,626.12, 713,001.72 and 312,789.32

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Solution

The fourth proportional to 516,626.12, 713,001.72 and 312,789.32 is: 431,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,626.12 : 713,001.72 = 312,789.32 : x
  2. Step 2: Convert to fraction form
    516,626.12/713,001.72 = 312,789.32/x
  3. Step 3: Cross multiply
    516,626.12x = 713,001.72 × 312,789.32
  4. Step 4: Simplify right side
    516,626.12x = 223,019,323,157.63
  5. Step 5: Solve for x
    x = 223,019,323,157.63/516,626.12
  6. Step 6: Final answer
    x = 431,684.18

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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.