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Finding the Fourth Proportional to 564,396.80, 778,843.20 and 309,752.32

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Solution

The fourth proportional to 564,396.80, 778,843.20 and 309,752.32 is: 427,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,396.80 : 778,843.20 = 309,752.32 : x
  2. Step 2: Convert to fraction form
    564,396.80/778,843.20 = 309,752.32/x
  3. Step 3: Cross multiply
    564,396.80x = 778,843.20 × 309,752.32
  4. Step 4: Simplify right side
    564,396.80x = 241,248,488,116.22
  5. Step 5: Solve for x
    x = 241,248,488,116.22/564,396.80
  6. Step 6: Final answer
    x = 427,444.82

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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.