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Finding the Fourth Proportional to 576,028.20, 864,042.30 and 310,307.70

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Solution

The fourth proportional to 576,028.20, 864,042.30 and 310,307.70 is: 465,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,028.20 : 864,042.30 = 310,307.70 : x
  2. Step 2: Convert to fraction form
    576,028.20/864,042.30 = 310,307.70/x
  3. Step 3: Cross multiply
    576,028.20x = 864,042.30 × 310,307.70
  4. Step 4: Simplify right side
    576,028.20x = 268,118,978,815.71
  5. Step 5: Solve for x
    x = 268,118,978,815.71/576,028.20
  6. Step 6: Final answer
    x = 465,461.55

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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.