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Finding the Fourth Proportional to 564,472.72, 778,961.23 and 319,452.94

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Solution

The fourth proportional to 564,472.72, 778,961.23 and 319,452.94 is: 440,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,472.72 : 778,961.23 = 319,452.94 : x
  2. Step 2: Convert to fraction form
    564,472.72/778,961.23 = 319,452.94/x
  3. Step 3: Cross multiply
    564,472.72x = 778,961.23 × 319,452.94
  4. Step 4: Simplify right side
    564,472.72x = 248,841,455,069.52
  5. Step 5: Solve for x
    x = 248,841,455,069.52/564,472.72
  6. Step 6: Final answer
    x = 440,838.76

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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.