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Finding the Fourth Proportional to 208,253.39, 287,174.87 and 178,138.40

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Solution

The fourth proportional to 208,253.39, 287,174.87 and 178,138.40 is: 245,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,253.39 : 287,174.87 = 178,138.40 : x
  2. Step 2: Convert to fraction form
    208,253.39/287,174.87 = 178,138.40/x
  3. Step 3: Cross multiply
    208,253.39x = 287,174.87 × 178,138.40
  4. Step 4: Simplify right side
    208,253.39x = 51,156,871,862.01
  5. Step 5: Solve for x
    x = 51,156,871,862.01/208,253.39
  6. Step 6: Final answer
    x = 245,647.25

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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.