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Finding the Fourth Proportional to 314,337.19, 471,501.17 and 77,679.86

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Solution

The fourth proportional to 314,337.19, 471,501.17 and 77,679.86 is: 116,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,337.19 : 471,501.17 = 77,679.86 : x
  2. Step 2: Convert to fraction form
    314,337.19/471,501.17 = 77,679.86/x
  3. Step 3: Cross multiply
    314,337.19x = 471,501.17 × 77,679.86
  4. Step 4: Simplify right side
    314,337.19x = 36,626,144,487.04
  5. Step 5: Solve for x
    x = 36,626,144,487.04/314,337.19
  6. Step 6: Final answer
    x = 116,518.65

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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.