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Finding the Fourth Proportional to 314,337.69, 471,501.92 and 77,680.36

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Solution

The fourth proportional to 314,337.69, 471,501.92 and 77,680.36 is: 116,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,337.69 : 471,501.92 = 77,680.36 : x
  2. Step 2: Convert to fraction form
    314,337.69/471,501.92 = 77,680.36/x
  3. Step 3: Cross multiply
    314,337.69x = 471,501.92 × 77,680.36
  4. Step 4: Simplify right side
    314,337.69x = 36,626,438,497.89
  5. Step 5: Solve for x
    x = 36,626,438,497.89/314,337.69
  6. Step 6: Final answer
    x = 116,519.40

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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.