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Finding the Fourth Proportional to 305,461.72, 458,105.10 and 105,730.30

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Solution

The fourth proportional to 305,461.72, 458,105.10 and 105,730.30 is: 158,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,461.72 : 458,105.10 = 105,730.30 : x
  2. Step 2: Convert to fraction form
    305,461.72/458,105.10 = 105,730.30/x
  3. Step 3: Cross multiply
    305,461.72x = 458,105.10 × 105,730.30
  4. Step 4: Simplify right side
    305,461.72x = 48,435,589,654.53
  5. Step 5: Solve for x
    x = 48,435,589,654.53/305,461.72
  6. Step 6: Final answer
    x = 158,565.17

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1.5x scale

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.