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Finding the Fourth Proportional to 289,951.74, 400,157.55 and 160,902.36

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Solution

The fourth proportional to 289,951.74, 400,157.55 and 160,902.36 is: 222,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,951.74 : 400,157.55 = 160,902.36 : x
  2. Step 2: Convert to fraction form
    289,951.74/400,157.55 = 160,902.36/x
  3. Step 3: Cross multiply
    289,951.74x = 400,157.55 × 160,902.36
  4. Step 4: Simplify right side
    289,951.74x = 64,386,294,166.82
  5. Step 5: Solve for x
    x = 64,386,294,166.82/289,951.74
  6. Step 6: Final answer
    x = 222,058.66

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1.5x scale

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.