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Finding the Fourth Proportional to 257,266.60, 386,337.30 and 190,781.80

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Solution

The fourth proportional to 257,266.60, 386,337.30 and 190,781.80 is: 286,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,266.60 : 386,337.30 = 190,781.80 : x
  2. Step 2: Convert to fraction form
    257,266.60/386,337.30 = 190,781.80/x
  3. Step 3: Cross multiply
    257,266.60x = 386,337.30 × 190,781.80
  4. Step 4: Simplify right side
    257,266.60x = 73,706,125,501.14
  5. Step 5: Solve for x
    x = 73,706,125,501.14/257,266.60
  6. Step 6: Final answer
    x = 286,497.06

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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.