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Finding the Fourth Proportional to 517,255.56, 713,705.67 and 302,354.05

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Solution

The fourth proportional to 517,255.56, 713,705.67 and 302,354.05 is: 417,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,255.56 : 713,705.67 = 302,354.05 : x
  2. Step 2: Convert to fraction form
    517,255.56/713,705.67 = 302,354.05/x
  3. Step 3: Cross multiply
    517,255.56x = 713,705.67 × 302,354.05
  4. Step 4: Simplify right side
    517,255.56x = 215,791,799,832.46
  5. Step 5: Solve for x
    x = 215,791,799,832.46/517,255.56
  6. Step 6: Final answer
    x = 417,186.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.