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Finding the Fourth Proportional to 517,713.78, 714,493.26 and 302,840.22

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Solution

The fourth proportional to 517,713.78, 714,493.26 and 302,840.22 is: 417,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,713.78 : 714,493.26 = 302,840.22 : x
  2. Step 2: Convert to fraction form
    517,713.78/714,493.26 = 302,840.22/x
  3. Step 3: Cross multiply
    517,713.78x = 714,493.26 × 302,840.22
  4. Step 4: Simplify right side
    517,713.78x = 216,377,296,046.92
  5. Step 5: Solve for x
    x = 216,377,296,046.92/517,713.78
  6. Step 6: Final answer
    x = 417,947.72

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1.5x scale

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.