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Finding the Fourth Proportional to 859,712.72, 1,186,395 and 477,731.48

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Solution

The fourth proportional to 859,712.72, 1,186,395 and 477,731.48 is: 659,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,712.72 : 1,186,395 = 477,731.48 : x
  2. Step 2: Convert to fraction form
    859,712.72/1,186,395 = 477,731.48/x
  3. Step 3: Cross multiply
    859,712.72x = 1,186,395 × 477,731.48
  4. Step 4: Simplify right side
    859,712.72x = 566,778,239,214.60
  5. Step 5: Solve for x
    x = 566,778,239,214.60/859,712.72
  6. Step 6: Final answer
    x = 659,264.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.