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Finding the Fourth Proportional to 314,036.42, 471,054.88 and 77,379.12

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Solution

The fourth proportional to 314,036.42, 471,054.88 and 77,379.12 is: 116,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,036.42 : 471,054.88 = 77,379.12 : x
  2. Step 2: Convert to fraction form
    314,036.42/471,054.88 = 77,379.12/x
  3. Step 3: Cross multiply
    314,036.42x = 471,054.88 × 77,379.12
  4. Step 4: Simplify right side
    314,036.42x = 36,449,812,182.83
  5. Step 5: Solve for x
    x = 36,449,812,182.83/314,036.42
  6. Step 6: Final answer
    x = 116,068.74

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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.