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Finding the Fourth Proportional to 990,951.76, 1,486,484.16 and 280,924

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Solution

The fourth proportional to 990,951.76, 1,486,484.16 and 280,924 is: 421,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,951.76 : 1,486,484.16 = 280,924 : x
  2. Step 2: Convert to fraction form
    990,951.76/1,486,484.16 = 280,924/x
  3. Step 3: Cross multiply
    990,951.76x = 1,486,484.16 × 280,924
  4. Step 4: Simplify right side
    990,951.76x = 417,589,076,163.84
  5. Step 5: Solve for x
    x = 417,589,076,163.84/990,951.76
  6. Step 6: Final answer
    x = 421,402.02

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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.