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Finding the Fourth Proportional to 288,886.74, 433,339.67 and 99,345.21

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Solution

The fourth proportional to 288,886.74, 433,339.67 and 99,345.21 is: 149,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,886.74 : 433,339.67 = 99,345.21 : x
  2. Step 2: Convert to fraction form
    288,886.74/433,339.67 = 99,345.21/x
  3. Step 3: Cross multiply
    288,886.74x = 433,339.67 × 99,345.21
  4. Step 4: Simplify right side
    288,886.74x = 43,050,220,517.48
  5. Step 5: Solve for x
    x = 43,050,220,517.48/288,886.74
  6. Step 6: Final answer
    x = 149,021.10

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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.