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Finding the Fourth Proportional to 207,078.40, 310,617.60 and 185,427.10

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Solution

The fourth proportional to 207,078.40, 310,617.60 and 185,427.10 is: 278,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,078.40 : 310,617.60 = 185,427.10 : x
  2. Step 2: Convert to fraction form
    207,078.40/310,617.60 = 185,427.10/x
  3. Step 3: Cross multiply
    207,078.40x = 310,617.60 × 185,427.10
  4. Step 4: Simplify right side
    207,078.40x = 57,596,920,776.96
  5. Step 5: Solve for x
    x = 57,596,920,776.96/207,078.40
  6. Step 6: Final answer
    x = 278,140.65

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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.