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Finding the Fourth Proportional to 438,407.80, 657,870.90 and 319,780.60

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Solution

The fourth proportional to 438,407.80, 657,870.90 and 319,780.60 is: 479,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,407.80 : 657,870.90 = 319,780.60 : x
  2. Step 2: Convert to fraction form
    438,407.80/657,870.90 = 319,780.60/x
  3. Step 3: Cross multiply
    438,407.80x = 657,870.90 × 319,780.60
  4. Step 4: Simplify right side
    438,407.80x = 210,374,351,124.54
  5. Step 5: Solve for x
    x = 210,374,351,124.54/438,407.80
  6. Step 6: Final answer
    x = 479,859.96

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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.