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Finding the Fourth Proportional to 564,475.72, 778,965.37 and 319,455.94

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Solution

The fourth proportional to 564,475.72, 778,965.37 and 319,455.94 is: 440,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,475.72 : 778,965.37 = 319,455.94 : x
  2. Step 2: Convert to fraction form
    564,475.72/778,965.37 = 319,455.94/x
  3. Step 3: Cross multiply
    564,475.72x = 778,965.37 × 319,455.94
  4. Step 4: Simplify right side
    564,475.72x = 248,845,114,500.80
  5. Step 5: Solve for x
    x = 248,845,114,500.80/564,475.72
  6. Step 6: Final answer
    x = 440,842.90

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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.