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Finding the Fourth Proportional to 471,774.17, 651,050.76 and 280,794.40

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Solution

The fourth proportional to 471,774.17, 651,050.76 and 280,794.40 is: 387,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,774.17 : 651,050.76 = 280,794.40 : x
  2. Step 2: Convert to fraction form
    471,774.17/651,050.76 = 280,794.40/x
  3. Step 3: Cross multiply
    471,774.17x = 651,050.76 × 280,794.40
  4. Step 4: Simplify right side
    471,774.17x = 182,811,406,949.10
  5. Step 5: Solve for x
    x = 182,811,406,949.10/471,774.17
  6. Step 6: Final answer
    x = 387,497.70

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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.