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Finding the Fourth Proportional to 503,588.34, 695,045.13 and 288,729.90

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Solution

The fourth proportional to 503,588.34, 695,045.13 and 288,729.90 is: 398,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,588.34 : 695,045.13 = 288,729.90 : x
  2. Step 2: Convert to fraction form
    503,588.34/695,045.13 = 288,729.90/x
  3. Step 3: Cross multiply
    503,588.34x = 695,045.13 × 288,729.90
  4. Step 4: Simplify right side
    503,588.34x = 200,680,310,880.39
  5. Step 5: Solve for x
    x = 200,680,310,880.39/503,588.34
  6. Step 6: Final answer
    x = 398,500.71

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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.