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Finding the Fourth Proportional to 385,798.28, 578,486.01 and 119,484.86

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Solution

The fourth proportional to 385,798.28, 578,486.01 and 119,484.86 is: 179,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,798.28 : 578,486.01 = 119,484.86 : x
  2. Step 2: Convert to fraction form
    385,798.28/578,486.01 = 119,484.86/x
  3. Step 3: Cross multiply
    385,798.28x = 578,486.01 × 119,484.86
  4. Step 4: Simplify right side
    385,798.28x = 69,120,321,363.02
  5. Step 5: Solve for x
    x = 69,120,321,363.02/385,798.28
  6. Step 6: Final answer
    x = 179,161.82

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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.