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Finding the Fourth Proportional to 289,454.64, 399,642.33 and 180,724.52

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Solution

The fourth proportional to 289,454.64, 399,642.33 and 180,724.52 is: 249,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,454.64 : 399,642.33 = 180,724.52 : x
  2. Step 2: Convert to fraction form
    289,454.64/399,642.33 = 180,724.52/x
  3. Step 3: Cross multiply
    289,454.64x = 399,642.33 × 180,724.52
  4. Step 4: Simplify right side
    289,454.64x = 72,225,166,262.72
  5. Step 5: Solve for x
    x = 72,225,166,262.72/289,454.64
  6. Step 6: Final answer
    x = 249,521.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.