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Finding the Fourth Proportional to 540,306.88, 810,205.86 and 315,732.22

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Solution

The fourth proportional to 540,306.88, 810,205.86 and 315,732.22 is: 473,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,306.88 : 810,205.86 = 315,732.22 : x
  2. Step 2: Convert to fraction form
    540,306.88/810,205.86 = 315,732.22/x
  3. Step 3: Cross multiply
    540,306.88x = 810,205.86 × 315,732.22
  4. Step 4: Simplify right side
    540,306.88x = 255,808,094,834.81
  5. Step 5: Solve for x
    x = 255,808,094,834.81/540,306.88
  6. Step 6: Final answer
    x = 473,449.63

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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.