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Finding the Fourth Proportional to 537,053.80, 806,203.10 and 288,221.80

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Solution

The fourth proportional to 537,053.80, 806,203.10 and 288,221.80 is: 432,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,053.80 : 806,203.10 = 288,221.80 : x
  2. Step 2: Convert to fraction form
    537,053.80/806,203.10 = 288,221.80/x
  3. Step 3: Cross multiply
    537,053.80x = 806,203.10 × 288,221.80
  4. Step 4: Simplify right side
    537,053.80x = 232,365,308,647.58
  5. Step 5: Solve for x
    x = 232,365,308,647.58/537,053.80
  6. Step 6: Final answer
    x = 432,666.72

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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.