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Finding the Fourth Proportional to 314,356.56, 471,535.20 and 77,695.62

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Solution

The fourth proportional to 314,356.56, 471,535.20 and 77,695.62 is: 116,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,356.56 : 471,535.20 = 77,695.62 : x
  2. Step 2: Convert to fraction form
    314,356.56/471,535.20 = 77,695.62/x
  3. Step 3: Cross multiply
    314,356.56x = 471,535.20 × 77,695.62
  4. Step 4: Simplify right side
    314,356.56x = 36,636,219,715.82
  5. Step 5: Solve for x
    x = 36,636,219,715.82/314,356.56
  6. Step 6: Final answer
    x = 116,543.52

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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.