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Finding the Fourth Proportional to 709,182.12, 978,631.45 and 403,332.90

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Solution

The fourth proportional to 709,182.12, 978,631.45 and 403,332.90 is: 556,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,182.12 : 978,631.45 = 403,332.90 : x
  2. Step 2: Convert to fraction form
    709,182.12/978,631.45 = 403,332.90/x
  3. Step 3: Cross multiply
    709,182.12x = 978,631.45 × 403,332.90
  4. Step 4: Simplify right side
    709,182.12x = 394,714,260,759.71
  5. Step 5: Solve for x
    x = 394,714,260,759.71/709,182.12
  6. Step 6: Final answer
    x = 556,576.72

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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.