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Finding the Fourth Proportional to 674,308.36, 930,563.80 and 402,534

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Solution

The fourth proportional to 674,308.36, 930,563.80 and 402,534 is: 555,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,308.36 : 930,563.80 = 402,534 : x
  2. Step 2: Convert to fraction form
    674,308.36/930,563.80 = 402,534/x
  3. Step 3: Cross multiply
    674,308.36x = 930,563.80 × 402,534
  4. Step 4: Simplify right side
    674,308.36x = 374,583,568,669.20
  5. Step 5: Solve for x
    x = 374,583,568,669.20/674,308.36
  6. Step 6: Final answer
    x = 555,507.82

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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.