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Finding the Fourth Proportional to 287,990.22, 432,178.16 and 119,510.71

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Solution

The fourth proportional to 287,990.22, 432,178.16 and 119,510.71 is: 179,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,990.22 : 432,178.16 = 119,510.71 : x
  2. Step 2: Convert to fraction form
    287,990.22/432,178.16 = 119,510.71/x
  3. Step 3: Cross multiply
    287,990.22x = 432,178.16 × 119,510.71
  4. Step 4: Simplify right side
    287,990.22x = 51,649,918,150.54
  5. Step 5: Solve for x
    x = 51,649,918,150.54/287,990.22
  6. Step 6: Final answer
    x = 179,346.09

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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.