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Finding the Fourth Proportional to 238,254.74, 328,767 and 142,758.98

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Solution

The fourth proportional to 238,254.74, 328,767 and 142,758.98 is: 196,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,254.74 : 328,767 = 142,758.98 : x
  2. Step 2: Convert to fraction form
    238,254.74/328,767 = 142,758.98/x
  3. Step 3: Cross multiply
    238,254.74x = 328,767 × 142,758.98
  4. Step 4: Simplify right side
    238,254.74x = 46,934,441,577.66
  5. Step 5: Solve for x
    x = 46,934,441,577.66/238,254.74
  6. Step 6: Final answer
    x = 196,992.69

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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.