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Finding the Fourth Proportional to 564,849, 779,505.16 and 310,205.64

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Solution

The fourth proportional to 564,849, 779,505.16 and 310,205.64 is: 428,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,849 : 779,505.16 = 310,205.64 : x
  2. Step 2: Convert to fraction form
    564,849/779,505.16 = 310,205.64/x
  3. Step 3: Cross multiply
    564,849x = 779,505.16 × 310,205.64
  4. Step 4: Simplify right side
    564,849x = 241,806,897,041.10
  5. Step 5: Solve for x
    x = 241,806,897,041.10/564,849
  6. Step 6: Final answer
    x = 428,091.22

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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.