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Finding the Fourth Proportional to 385,595.96, 578,376.92 and 105,113.22

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Solution

The fourth proportional to 385,595.96, 578,376.92 and 105,113.22 is: 157,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,595.96 : 578,376.92 = 105,113.22 : x
  2. Step 2: Convert to fraction form
    385,595.96/578,376.92 = 105,113.22/x
  3. Step 3: Cross multiply
    385,595.96x = 578,376.92 × 105,113.22
  4. Step 4: Simplify right side
    385,595.96x = 60,795,060,434.88
  5. Step 5: Solve for x
    x = 60,795,060,434.88/385,595.96
  6. Step 6: Final answer
    x = 157,665.19

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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.