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Finding the Fourth Proportional to 704,856.64, 971,966.91 and 418,321.37

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Solution

The fourth proportional to 704,856.64, 971,966.91 and 418,321.37 is: 576,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,856.64 : 971,966.91 = 418,321.37 : x
  2. Step 2: Convert to fraction form
    704,856.64/971,966.91 = 418,321.37/x
  3. Step 3: Cross multiply
    704,856.64x = 971,966.91 × 418,321.37
  4. Step 4: Simplify right side
    704,856.64x = 406,594,522,434.43
  5. Step 5: Solve for x
    x = 406,594,522,434.43/704,856.64
  6. Step 6: Final answer
    x = 576,847.12

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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.