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Finding the Fourth Proportional to 417,584, 576,278.72 and 245,470.40

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Solution

The fourth proportional to 417,584, 576,278.72 and 245,470.40 is: 338,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,584 : 576,278.72 = 245,470.40 : x
  2. Step 2: Convert to fraction form
    417,584/576,278.72 = 245,470.40/x
  3. Step 3: Cross multiply
    417,584x = 576,278.72 × 245,470.40
  4. Step 4: Simplify right side
    417,584x = 141,459,367,909.89
  5. Step 5: Solve for x
    x = 141,459,367,909.89/417,584
  6. Step 6: Final answer
    x = 338,756.68

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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.