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Finding the Fourth Proportional to 238,710.40, 358,162.56 and 120,416

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Solution

The fourth proportional to 238,710.40, 358,162.56 and 120,416 is: 180,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,710.40 : 358,162.56 = 120,416 : x
  2. Step 2: Convert to fraction form
    238,710.40/358,162.56 = 120,416/x
  3. Step 3: Cross multiply
    238,710.40x = 358,162.56 × 120,416
  4. Step 4: Simplify right side
    238,710.40x = 43,128,502,824.96
  5. Step 5: Solve for x
    x = 43,128,502,824.96/238,710.40
  6. Step 6: Final answer
    x = 180,672.91

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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.