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Finding the Fourth Proportional to 314,342.16, 471,508.64 and 77,684.86

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Solution

The fourth proportional to 314,342.16, 471,508.64 and 77,684.86 is: 116,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,342.16 : 471,508.64 = 77,684.86 : x
  2. Step 2: Convert to fraction form
    314,342.16/471,508.64 = 77,684.86/x
  3. Step 3: Cross multiply
    314,342.16x = 471,508.64 × 77,684.86
  4. Step 4: Simplify right side
    314,342.16x = 36,629,082,687.19
  5. Step 5: Solve for x
    x = 36,629,082,687.19/314,342.16
  6. Step 6: Final answer
    x = 116,526.15

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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.