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Finding the Fourth Proportional to 564,419.25, 778,899.11 and 322,706.88

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Solution

The fourth proportional to 564,419.25, 778,899.11 and 322,706.88 is: 445,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,419.25 : 778,899.11 = 322,706.88 : x
  2. Step 2: Convert to fraction form
    564,419.25/778,899.11 = 322,706.88/x
  3. Step 3: Cross multiply
    564,419.25x = 778,899.11 × 322,706.88
  4. Step 4: Simplify right side
    564,419.25x = 251,356,100,009.34
  5. Step 5: Solve for x
    x = 251,356,100,009.34/564,419.25
  6. Step 6: Final answer
    x = 445,335.80

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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.