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Finding the Fourth Proportional to 421,970.18, 632,788.50 and 137,590.82

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Solution

The fourth proportional to 421,970.18, 632,788.50 and 137,590.82 is: 206,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,970.18 : 632,788.50 = 137,590.82 : x
  2. Step 2: Convert to fraction form
    421,970.18/632,788.50 = 137,590.82/x
  3. Step 3: Cross multiply
    421,970.18x = 632,788.50 × 137,590.82
  4. Step 4: Simplify right side
    421,970.18x = 87,065,888,326.55
  5. Step 5: Solve for x
    x = 87,065,888,326.55/421,970.18
  6. Step 6: Final answer
    x = 206,331.85

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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.