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Finding the Fourth Proportional to 475,346.64, 712,540.18 and 297,978.20

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Solution

The fourth proportional to 475,346.64, 712,540.18 and 297,978.20 is: 446,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,346.64 : 712,540.18 = 297,978.20 : x
  2. Step 2: Convert to fraction form
    475,346.64/712,540.18 = 297,978.20/x
  3. Step 3: Cross multiply
    475,346.64x = 712,540.18 × 297,978.20
  4. Step 4: Simplify right side
    475,346.64x = 212,321,440,264.08
  5. Step 5: Solve for x
    x = 212,321,440,264.08/475,346.64
  6. Step 6: Final answer
    x = 446,666.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.