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Finding the Fourth Proportional to 385,777.66, 578,455.08 and 119,464.24

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Solution

The fourth proportional to 385,777.66, 578,455.08 and 119,464.24 is: 179,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,777.66 : 578,455.08 = 119,464.24 : x
  2. Step 2: Convert to fraction form
    385,777.66/578,455.08 = 119,464.24/x
  3. Step 3: Cross multiply
    385,777.66x = 578,455.08 × 119,464.24
  4. Step 4: Simplify right side
    385,777.66x = 69,104,694,612.21
  5. Step 5: Solve for x
    x = 69,104,694,612.21/385,777.66
  6. Step 6: Final answer
    x = 179,130.89

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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.