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Finding the Fourth Proportional to 643,775.76, 888,006.36 and 414,630

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Solution

The fourth proportional to 643,775.76, 888,006.36 and 414,630 is: 571,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,775.76 : 888,006.36 = 414,630 : x
  2. Step 2: Convert to fraction form
    643,775.76/888,006.36 = 414,630/x
  3. Step 3: Cross multiply
    643,775.76x = 888,006.36 × 414,630
  4. Step 4: Simplify right side
    643,775.76x = 368,194,077,046.80
  5. Step 5: Solve for x
    x = 368,194,077,046.80/643,775.76
  6. Step 6: Final answer
    x = 571,929.08

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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.