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Finding the Fourth Proportional to 208,123.60, 311,724.60 and 171,259.60

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Solution

The fourth proportional to 208,123.60, 311,724.60 and 171,259.60 is: 256,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,123.60 : 311,724.60 = 171,259.60 : x
  2. Step 2: Convert to fraction form
    208,123.60/311,724.60 = 171,259.60/x
  3. Step 3: Cross multiply
    208,123.60x = 311,724.60 × 171,259.60
  4. Step 4: Simplify right side
    208,123.60x = 53,385,830,306.16
  5. Step 5: Solve for x
    x = 53,385,830,306.16/208,123.60
  6. Step 6: Final answer
    x = 256,510.22

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1.5x scale

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.