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Finding the Fourth Proportional to 277,488.90, 416,186.45 and 77,763.36

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Solution

The fourth proportional to 277,488.90, 416,186.45 and 77,763.36 is: 116,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488.90 : 416,186.45 = 77,763.36 : x
  2. Step 2: Convert to fraction form
    277,488.90/416,186.45 = 77,763.36/x
  3. Step 3: Cross multiply
    277,488.90x = 416,186.45 × 77,763.36
  4. Step 4: Simplify right side
    277,488.90x = 32,364,056,349.66
  5. Step 5: Solve for x
    x = 32,364,056,349.66/277,488.90
  6. Step 6: Final answer
    x = 116,631.90

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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.