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Finding the Fourth Proportional to 208,255.64, 287,177.96 and 178,140.68

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Solution

The fourth proportional to 208,255.64, 287,177.96 and 178,140.68 is: 245,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,255.64 : 287,177.96 = 178,140.68 : x
  2. Step 2: Convert to fraction form
    208,255.64/287,177.96 = 178,140.68/x
  3. Step 3: Cross multiply
    208,255.64x = 287,177.96 × 178,140.68
  4. Step 4: Simplify right side
    208,255.64x = 51,158,077,075.41
  5. Step 5: Solve for x
    x = 51,158,077,075.41/208,255.64
  6. Step 6: Final answer
    x = 245,650.38

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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.