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Finding the Fourth Proportional to 208,304.71, 287,245.51 and 178,189.72

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Solution

The fourth proportional to 208,304.71, 287,245.51 and 178,189.72 is: 245,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,304.71 : 287,245.51 = 178,189.72 : x
  2. Step 2: Convert to fraction form
    208,304.71/287,245.51 = 178,189.72/x
  3. Step 3: Cross multiply
    208,304.71x = 287,245.51 × 178,189.72
  4. Step 4: Simplify right side
    208,304.71x = 51,184,196,998.16
  5. Step 5: Solve for x
    x = 51,184,196,998.16/208,304.71
  6. Step 6: Final answer
    x = 245,717.91

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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.