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Finding the Fourth Proportional to 289,225.74, 433,879.90 and 89,563.98

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Solution

The fourth proportional to 289,225.74, 433,879.90 and 89,563.98 is: 134,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,225.74 : 433,879.90 = 89,563.98 : x
  2. Step 2: Convert to fraction form
    289,225.74/433,879.90 = 89,563.98/x
  3. Step 3: Cross multiply
    289,225.74x = 433,879.90 × 89,563.98
  4. Step 4: Simplify right side
    289,225.74x = 38,860,010,686.00
  5. Step 5: Solve for x
    x = 38,860,010,686.00/289,225.74
  6. Step 6: Final answer
    x = 134,358.76

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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.