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Finding the Fourth Proportional to 315,077.74, 472,678.12 and 101,898.60

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Solution

The fourth proportional to 315,077.74, 472,678.12 and 101,898.60 is: 152,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,077.74 : 472,678.12 = 101,898.60 : x
  2. Step 2: Convert to fraction form
    315,077.74/472,678.12 = 101,898.60/x
  3. Step 3: Cross multiply
    315,077.74x = 472,678.12 × 101,898.60
  4. Step 4: Simplify right side
    315,077.74x = 48,165,238,678.63
  5. Step 5: Solve for x
    x = 48,165,238,678.63/315,077.74
  6. Step 6: Final answer
    x = 152,867.79

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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.