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Finding the Fourth Proportional to 385,474.90, 578,267.43 and 119,258.14

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Solution

The fourth proportional to 385,474.90, 578,267.43 and 119,258.14 is: 178,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,474.90 : 578,267.43 = 119,258.14 : x
  2. Step 2: Convert to fraction form
    385,474.90/578,267.43 = 119,258.14/x
  3. Step 3: Cross multiply
    385,474.90x = 578,267.43 × 119,258.14
  4. Step 4: Simplify right side
    385,474.90x = 68,963,098,124.38
  5. Step 5: Solve for x
    x = 68,963,098,124.38/385,474.90
  6. Step 6: Final answer
    x = 178,904.25

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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.