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Finding the Fourth Proportional to 314,386.92, 471,580.35 and 77,731.65

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Solution

The fourth proportional to 314,386.92, 471,580.35 and 77,731.65 is: 116,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,386.92 : 471,580.35 = 77,731.65 : x
  2. Step 2: Convert to fraction form
    314,386.92/471,580.35 = 77,731.65/x
  3. Step 3: Cross multiply
    314,386.92x = 471,580.35 × 77,731.65
  4. Step 4: Simplify right side
    314,386.92x = 36,656,718,713.08
  5. Step 5: Solve for x
    x = 36,656,718,713.08/314,386.92
  6. Step 6: Final answer
    x = 116,597.47

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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.