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Finding the Fourth Proportional to 285,991.88, 428,688.47 and 96,386.67

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Solution

The fourth proportional to 285,991.88, 428,688.47 and 96,386.67 is: 144,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,991.88 : 428,688.47 = 96,386.67 : x
  2. Step 2: Convert to fraction form
    285,991.88/428,688.47 = 96,386.67/x
  3. Step 3: Cross multiply
    285,991.88x = 428,688.47 × 96,386.67
  4. Step 4: Simplify right side
    285,991.88x = 41,319,854,595.65
  5. Step 5: Solve for x
    x = 41,319,854,595.65/285,991.88
  6. Step 6: Final answer
    x = 144,479.12

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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.