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Finding the Fourth Proportional to 659,582.64, 988,701.82 and 280,261.50

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Solution

The fourth proportional to 659,582.64, 988,701.82 and 280,261.50 is: 420,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,582.64 : 988,701.82 = 280,261.50 : x
  2. Step 2: Convert to fraction form
    659,582.64/988,701.82 = 280,261.50/x
  3. Step 3: Cross multiply
    659,582.64x = 988,701.82 × 280,261.50
  4. Step 4: Simplify right side
    659,582.64x = 277,095,055,125.93
  5. Step 5: Solve for x
    x = 277,095,055,125.93/659,582.64
  6. Step 6: Final answer
    x = 420,106.65

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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.