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Finding the Fourth Proportional to 659,838.34, 989,631.15 and 280,967.86

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Solution

The fourth proportional to 659,838.34, 989,631.15 and 280,967.86 is: 421,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,838.34 : 989,631.15 = 280,967.86 : x
  2. Step 2: Convert to fraction form
    659,838.34/989,631.15 = 280,967.86/x
  3. Step 3: Cross multiply
    659,838.34x = 989,631.15 × 280,967.86
  4. Step 4: Simplify right side
    659,838.34x = 278,054,546,404.84
  5. Step 5: Solve for x
    x = 278,054,546,404.84/659,838.34
  6. Step 6: Final answer
    x = 421,397.98

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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.