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Finding the Fourth Proportional to 268,923.60, 403,385.40 and 257,113.80

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Solution

The fourth proportional to 268,923.60, 403,385.40 and 257,113.80 is: 385,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,923.60 : 403,385.40 = 257,113.80 : x
  2. Step 2: Convert to fraction form
    268,923.60/403,385.40 = 257,113.80/x
  3. Step 3: Cross multiply
    268,923.60x = 403,385.40 × 257,113.80
  4. Step 4: Simplify right side
    268,923.60x = 103,715,953,058.52
  5. Step 5: Solve for x
    x = 103,715,953,058.52/268,923.60
  6. Step 6: Final answer
    x = 385,670.70

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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.