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Finding the Fourth Proportional to 659,076.30, 986,427.45 and 478,648.80

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Solution

The fourth proportional to 659,076.30, 986,427.45 and 478,648.80 is: 716,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,076.30 : 986,427.45 = 478,648.80 : x
  2. Step 2: Convert to fraction form
    659,076.30/986,427.45 = 478,648.80/x
  3. Step 3: Cross multiply
    659,076.30x = 986,427.45 × 478,648.80
  4. Step 4: Simplify right side
    659,076.30x = 472,152,315,229.56
  5. Step 5: Solve for x
    x = 472,152,315,229.56/659,076.30
  6. Step 6: Final answer
    x = 716,384.91

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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.