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Finding the Fourth Proportional to 518,481, 715,503.78 and 280,017

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Solution

The fourth proportional to 518,481, 715,503.78 and 280,017 is: 386,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,481 : 715,503.78 = 280,017 : x
  2. Step 2: Convert to fraction form
    518,481/715,503.78 = 280,017/x
  3. Step 3: Cross multiply
    518,481x = 715,503.78 × 280,017
  4. Step 4: Simplify right side
    518,481x = 200,353,221,964.26
  5. Step 5: Solve for x
    x = 200,353,221,964.26/518,481
  6. Step 6: Final answer
    x = 386,423.46

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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.