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Finding the Fourth Proportional to 238,278.94, 328,898.75 and 153,396

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Solution

The fourth proportional to 238,278.94, 328,898.75 and 153,396 is: 211,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,278.94 : 328,898.75 = 153,396 : x
  2. Step 2: Convert to fraction form
    238,278.94/328,898.75 = 153,396/x
  3. Step 3: Cross multiply
    238,278.94x = 328,898.75 × 153,396
  4. Step 4: Simplify right side
    238,278.94x = 50,451,751,888.02
  5. Step 5: Solve for x
    x = 50,451,751,888.02/238,278.94
  6. Step 6: Final answer
    x = 211,734.00

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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.