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Finding the Fourth Proportional to 564,481.79, 778,984.55 and 319,462.10

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Solution

The fourth proportional to 564,481.79, 778,984.55 and 319,462.10 is: 440,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,481.79 : 778,984.55 = 319,462.10 : x
  2. Step 2: Convert to fraction form
    564,481.79/778,984.55 = 319,462.10/x
  3. Step 3: Cross multiply
    564,481.79x = 778,984.55 × 319,462.10
  4. Step 4: Simplify right side
    564,481.79x = 248,856,034,718.32
  5. Step 5: Solve for x
    x = 248,856,034,718.32/564,481.79
  6. Step 6: Final answer
    x = 440,857.51

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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.