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Finding the Fourth Proportional to 521,567.40, 782,351.10 and 147,590.40

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Solution

The fourth proportional to 521,567.40, 782,351.10 and 147,590.40 is: 221,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,567.40 : 782,351.10 = 147,590.40 : x
  2. Step 2: Convert to fraction form
    521,567.40/782,351.10 = 147,590.40/x
  3. Step 3: Cross multiply
    521,567.40x = 782,351.10 × 147,590.40
  4. Step 4: Simplify right side
    521,567.40x = 115,467,511,789.44
  5. Step 5: Solve for x
    x = 115,467,511,789.44/521,567.40
  6. Step 6: Final answer
    x = 221,385.60

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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.