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Finding the Fourth Proportional to 610,641.64, 916,045.62 and 211,175.20

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Solution

The fourth proportional to 610,641.64, 916,045.62 and 211,175.20 is: 316,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,641.64 : 916,045.62 = 211,175.20 : x
  2. Step 2: Convert to fraction form
    610,641.64/916,045.62 = 211,175.20/x
  3. Step 3: Cross multiply
    610,641.64x = 916,045.62 × 211,175.20
  4. Step 4: Simplify right side
    610,641.64x = 193,446,117,012.62
  5. Step 5: Solve for x
    x = 193,446,117,012.62/610,641.64
  6. Step 6: Final answer
    x = 316,791.56

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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.