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Finding the Fourth Proportional to 540,375.16, 745,810.32 and 314,151.88

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Solution

The fourth proportional to 540,375.16, 745,810.32 and 314,151.88 is: 433,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,375.16 : 745,810.32 = 314,151.88 : x
  2. Step 2: Convert to fraction form
    540,375.16/745,810.32 = 314,151.88/x
  3. Step 3: Cross multiply
    540,375.16x = 745,810.32 × 314,151.88
  4. Step 4: Simplify right side
    540,375.16x = 234,297,714,151.40
  5. Step 5: Solve for x
    x = 234,297,714,151.40/540,375.16
  6. Step 6: Final answer
    x = 433,583.43

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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.