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Finding the Fourth Proportional to 659,543.74, 989,312.87 and 280,405.42

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Solution

The fourth proportional to 659,543.74, 989,312.87 and 280,405.42 is: 420,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,543.74 : 989,312.87 = 280,405.42 : x
  2. Step 2: Convert to fraction form
    659,543.74/989,312.87 = 280,405.42/x
  3. Step 3: Cross multiply
    659,543.74x = 989,312.87 × 280,405.42
  4. Step 4: Simplify right side
    659,543.74x = 277,408,689,051.49
  5. Step 5: Solve for x
    x = 277,408,689,051.49/659,543.74
  6. Step 6: Final answer
    x = 420,606.96

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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.