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Finding the Fourth Proportional to 242,718, 334,962.33 and 135,288.78

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Solution

The fourth proportional to 242,718, 334,962.33 and 135,288.78 is: 186,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,718 : 334,962.33 = 135,288.78 : x
  2. Step 2: Convert to fraction form
    242,718/334,962.33 = 135,288.78/x
  3. Step 3: Cross multiply
    242,718x = 334,962.33 × 135,288.78
  4. Step 4: Simplify right side
    242,718x = 45,316,644,971.66
  5. Step 5: Solve for x
    x = 45,316,644,971.66/242,718
  6. Step 6: Final answer
    x = 186,704.92

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1.5x scale

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.