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Finding the Fourth Proportional to 564,150.78, 778,642.70 and 382,921.11

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Solution

The fourth proportional to 564,150.78, 778,642.70 and 382,921.11 is: 528,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,150.78 : 778,642.70 = 382,921.11 : x
  2. Step 2: Convert to fraction form
    564,150.78/778,642.70 = 382,921.11/x
  3. Step 3: Cross multiply
    564,150.78x = 778,642.70 × 382,921.11
  4. Step 4: Simplify right side
    564,150.78x = 298,158,725,062.79
  5. Step 5: Solve for x
    x = 298,158,725,062.79/564,150.78
  6. Step 6: Final answer
    x = 528,508.93

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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.