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Finding the Fourth Proportional to 657,674.53, 907,742.50 and 385,829.75

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Solution

The fourth proportional to 657,674.53, 907,742.50 and 385,829.75 is: 532,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,674.53 : 907,742.50 = 385,829.75 : x
  2. Step 2: Convert to fraction form
    657,674.53/907,742.50 = 385,829.75/x
  3. Step 3: Cross multiply
    657,674.53x = 907,742.50 × 385,829.75
  4. Step 4: Simplify right side
    657,674.53x = 350,234,063,144.16
  5. Step 5: Solve for x
    x = 350,234,063,144.16/657,674.53
  6. Step 6: Final answer
    x = 532,534.02

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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.