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Finding the Fourth Proportional to 289,321.10, 433,981.65 and 243,701.90

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Solution

The fourth proportional to 289,321.10, 433,981.65 and 243,701.90 is: 365,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,321.10 : 433,981.65 = 243,701.90 : x
  2. Step 2: Convert to fraction form
    289,321.10/433,981.65 = 243,701.90/x
  3. Step 3: Cross multiply
    289,321.10x = 433,981.65 × 243,701.90
  4. Step 4: Simplify right side
    289,321.10x = 105,762,152,670.14
  5. Step 5: Solve for x
    x = 105,762,152,670.14/289,321.10
  6. Step 6: Final answer
    x = 365,552.85

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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.