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Finding the Fourth Proportional to 342,148.70, 472,146.09 and 189,178.04

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Solution

The fourth proportional to 342,148.70, 472,146.09 and 189,178.04 is: 261,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,148.70 : 472,146.09 = 189,178.04 : x
  2. Step 2: Convert to fraction form
    342,148.70/472,146.09 = 189,178.04/x
  3. Step 3: Cross multiply
    342,148.70x = 472,146.09 × 189,178.04
  4. Step 4: Simplify right side
    342,148.70x = 89,319,671,899.86
  5. Step 5: Solve for x
    x = 89,319,671,899.86/342,148.70
  6. Step 6: Final answer
    x = 261,055.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.