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Finding the Fourth Proportional to 315,065.80, 472,598.70 and 115,319.80

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Solution

The fourth proportional to 315,065.80, 472,598.70 and 115,319.80 is: 172,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,065.80 : 472,598.70 = 115,319.80 : x
  2. Step 2: Convert to fraction form
    315,065.80/472,598.70 = 115,319.80/x
  3. Step 3: Cross multiply
    315,065.80x = 472,598.70 × 115,319.80
  4. Step 4: Simplify right side
    315,065.80x = 54,499,987,564.26
  5. Step 5: Solve for x
    x = 54,499,987,564.26/315,065.80
  6. Step 6: Final answer
    x = 172,979.70

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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.