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Finding the Fourth Proportional to 540,305.88, 810,204.36 and 315,731.22

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Solution

The fourth proportional to 540,305.88, 810,204.36 and 315,731.22 is: 473,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,305.88 : 810,204.36 = 315,731.22 : x
  2. Step 2: Convert to fraction form
    540,305.88/810,204.36 = 315,731.22/x
  3. Step 3: Cross multiply
    540,305.88x = 810,204.36 × 315,731.22
  4. Step 4: Simplify right side
    540,305.88x = 255,806,811,032.12
  5. Step 5: Solve for x
    x = 255,806,811,032.12/540,305.88
  6. Step 6: Final answer
    x = 473,448.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.