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Finding the Fourth Proportional to 238,287.95, 328,838.47 and 136,314.53

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Solution

The fourth proportional to 238,287.95, 328,838.47 and 136,314.53 is: 188,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,287.95 : 328,838.47 = 136,314.53 : x
  2. Step 2: Convert to fraction form
    238,287.95/328,838.47 = 136,314.53/x
  3. Step 3: Cross multiply
    238,287.95x = 328,838.47 × 136,314.53
  4. Step 4: Simplify right side
    238,287.95x = 44,825,461,483.97
  5. Step 5: Solve for x
    x = 44,825,461,483.97/238,287.95
  6. Step 6: Final answer
    x = 188,114.68

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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.