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Finding the Fourth Proportional to 564,338.11, 778,809.06 and 309,698.41

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Solution

The fourth proportional to 564,338.11, 778,809.06 and 309,698.41 is: 427,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,338.11 : 778,809.06 = 309,698.41 : x
  2. Step 2: Convert to fraction form
    564,338.11/778,809.06 = 309,698.41/x
  3. Step 3: Cross multiply
    564,338.11x = 778,809.06 × 309,698.41
  4. Step 4: Simplify right side
    564,338.11x = 241,195,926,027.10
  5. Step 5: Solve for x
    x = 241,195,926,027.10/564,338.11
  6. Step 6: Final answer
    x = 427,396.13

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1.5x scale

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.