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Finding the Fourth Proportional to 314,128.76, 471,186.99 and 89,490.65

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Solution

The fourth proportional to 314,128.76, 471,186.99 and 89,490.65 is: 134,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,128.76 : 471,186.99 = 89,490.65 : x
  2. Step 2: Convert to fraction form
    314,128.76/471,186.99 = 89,490.65/x
  3. Step 3: Cross multiply
    314,128.76x = 471,186.99 × 89,490.65
  4. Step 4: Simplify right side
    314,128.76x = 42,166,827,650.71
  5. Step 5: Solve for x
    x = 42,166,827,650.71/314,128.76
  6. Step 6: Final answer
    x = 134,234.22

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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.