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Finding the Fourth Proportional to 305,870.86, 458,553.60 and 134,970.88

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Solution

The fourth proportional to 305,870.86, 458,553.60 and 134,970.88 is: 202,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,870.86 : 458,553.60 = 134,970.88 : x
  2. Step 2: Convert to fraction form
    305,870.86/458,553.60 = 134,970.88/x
  3. Step 3: Cross multiply
    305,870.86x = 458,553.60 × 134,970.88
  4. Step 4: Simplify right side
    305,870.86x = 61,891,382,919.17
  5. Step 5: Solve for x
    x = 61,891,382,919.17/305,870.86
  6. Step 6: Final answer
    x = 202,344.82

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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.