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Finding the Fourth Proportional to 385,387.82, 578,109.45 and 119,113.74

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Solution

The fourth proportional to 385,387.82, 578,109.45 and 119,113.74 is: 178,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,387.82 : 578,109.45 = 119,113.74 : x
  2. Step 2: Convert to fraction form
    385,387.82/578,109.45 = 119,113.74/x
  3. Step 3: Cross multiply
    385,387.82x = 578,109.45 × 119,113.74
  4. Step 4: Simplify right side
    385,387.82x = 68,860,779,165.52
  5. Step 5: Solve for x
    x = 68,860,779,165.52/385,387.82
  6. Step 6: Final answer
    x = 178,679.18

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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.