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Finding the Fourth Proportional to 347,376.82, 521,314.08 and 147,837.40

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Solution

The fourth proportional to 347,376.82, 521,314.08 and 147,837.40 is: 221,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,376.82 : 521,314.08 = 147,837.40 : x
  2. Step 2: Convert to fraction form
    347,376.82/521,314.08 = 147,837.40/x
  3. Step 3: Cross multiply
    347,376.82x = 521,314.08 × 147,837.40
  4. Step 4: Simplify right side
    347,376.82x = 77,069,718,170.59
  5. Step 5: Solve for x
    x = 77,069,718,170.59/347,376.82
  6. Step 6: Final answer
    x = 221,862.01

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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.