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Finding the Fourth Proportional to 390,233.80, 584,670.30 and 179,439.40

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Solution

The fourth proportional to 390,233.80, 584,670.30 and 179,439.40 is: 268,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,233.80 : 584,670.30 = 179,439.40 : x
  2. Step 2: Convert to fraction form
    390,233.80/584,670.30 = 179,439.40/x
  3. Step 3: Cross multiply
    390,233.80x = 584,670.30 × 179,439.40
  4. Step 4: Simplify right side
    390,233.80x = 104,912,887,829.82
  5. Step 5: Solve for x
    x = 104,912,887,829.82/390,233.80
  6. Step 6: Final answer
    x = 268,846.23

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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.