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Finding the Fourth Proportional to 357,890, 493,897.65 and 194,557.49

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Solution

The fourth proportional to 357,890, 493,897.65 and 194,557.49 is: 268,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,890 : 493,897.65 = 194,557.49 : x
  2. Step 2: Convert to fraction form
    357,890/493,897.65 = 194,557.49/x
  3. Step 3: Cross multiply
    357,890x = 493,897.65 × 194,557.49
  4. Step 4: Simplify right side
    357,890x = 96,091,487,100.90
  5. Step 5: Solve for x
    x = 96,091,487,100.90/357,890
  6. Step 6: Final answer
    x = 268,494.47

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1.5x scale

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.