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Finding the Fourth Proportional to 305,799.74, 458,312.10 and 172,754.96

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Solution

The fourth proportional to 305,799.74, 458,312.10 and 172,754.96 is: 258,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,799.74 : 458,312.10 = 172,754.96 : x
  2. Step 2: Convert to fraction form
    305,799.74/458,312.10 = 172,754.96/x
  3. Step 3: Cross multiply
    305,799.74x = 458,312.10 × 172,754.96
  4. Step 4: Simplify right side
    305,799.74x = 79,175,686,211.46
  5. Step 5: Solve for x
    x = 79,175,686,211.46/305,799.74
  6. Step 6: Final answer
    x = 258,913.52

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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.