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Finding the Fourth Proportional to 315,097.90, 472,704.45 and 128,128.30

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Solution

The fourth proportional to 315,097.90, 472,704.45 and 128,128.30 is: 192,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,097.90 : 472,704.45 = 128,128.30 : x
  2. Step 2: Convert to fraction form
    315,097.90/472,704.45 = 128,128.30/x
  3. Step 3: Cross multiply
    315,097.90x = 472,704.45 × 128,128.30
  4. Step 4: Simplify right side
    315,097.90x = 60,566,817,580.94
  5. Step 5: Solve for x
    x = 60,566,817,580.94/315,097.90
  6. Step 6: Final answer
    x = 192,215.87

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1.5x scale

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.