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Finding the Fourth Proportional to 277,442, 382,828.89 and 168,489.68

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Solution

The fourth proportional to 277,442, 382,828.89 and 168,489.68 is: 232,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,442 : 382,828.89 = 168,489.68 : x
  2. Step 2: Convert to fraction form
    277,442/382,828.89 = 168,489.68/x
  3. Step 3: Cross multiply
    277,442x = 382,828.89 × 168,489.68
  4. Step 4: Simplify right side
    277,442x = 64,502,717,170.86
  5. Step 5: Solve for x
    x = 64,502,717,170.86/277,442
  6. Step 6: Final answer
    x = 232,490.82

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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.