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Finding the Fourth Proportional to 564,295.88, 778,737.84 and 309,670.76

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Solution

The fourth proportional to 564,295.88, 778,737.84 and 309,670.76 is: 427,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,295.88 : 778,737.84 = 309,670.76 : x
  2. Step 2: Convert to fraction form
    564,295.88/778,737.84 = 309,670.76/x
  3. Step 3: Cross multiply
    564,295.88x = 778,737.84 × 309,670.76
  4. Step 4: Simplify right side
    564,295.88x = 241,152,338,753.56
  5. Step 5: Solve for x
    x = 241,152,338,753.56/564,295.88
  6. Step 6: Final answer
    x = 427,350.88

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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.