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Finding the Fourth Proportional to 564,009.54, 778,284.33 and 331,411.85

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Solution

The fourth proportional to 564,009.54, 778,284.33 and 331,411.85 is: 457,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,009.54 : 778,284.33 = 331,411.85 : x
  2. Step 2: Convert to fraction form
    564,009.54/778,284.33 = 331,411.85/x
  3. Step 3: Cross multiply
    564,009.54x = 778,284.33 × 331,411.85
  4. Step 4: Simplify right side
    564,009.54x = 257,932,645,739.89
  5. Step 5: Solve for x
    x = 257,932,645,739.89/564,009.54
  6. Step 6: Final answer
    x = 457,319.65

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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.