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Finding the Fourth Proportional to 551,912.16, 761,617.20 and 310,205.28

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Solution

The fourth proportional to 551,912.16, 761,617.20 and 310,205.28 is: 428,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,912.16 : 761,617.20 = 310,205.28 : x
  2. Step 2: Convert to fraction form
    551,912.16/761,617.20 = 310,205.28/x
  3. Step 3: Cross multiply
    551,912.16x = 761,617.20 × 310,205.28
  4. Step 4: Simplify right side
    551,912.16x = 236,257,676,778.82
  5. Step 5: Solve for x
    x = 236,257,676,778.82/551,912.16
  6. Step 6: Final answer
    x = 428,071.16

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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.