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Finding the Fourth Proportional to 315,080.60, 471,746.10 and 306,332.60

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Solution

The fourth proportional to 315,080.60, 471,746.10 and 306,332.60 is: 458,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,080.60 : 471,746.10 = 306,332.60 : x
  2. Step 2: Convert to fraction form
    315,080.60/471,746.10 = 306,332.60/x
  3. Step 3: Cross multiply
    315,080.60x = 471,746.10 × 306,332.60
  4. Step 4: Simplify right side
    315,080.60x = 144,511,209,352.86
  5. Step 5: Solve for x
    x = 144,511,209,352.86/315,080.60
  6. Step 6: Final answer
    x = 458,648.39

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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.