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Finding the Fourth Proportional to 277,638.40, 416,150.40 and 153,068.80

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Solution

The fourth proportional to 277,638.40, 416,150.40 and 153,068.80 is: 229,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,638.40 : 416,150.40 = 153,068.80 : x
  2. Step 2: Convert to fraction form
    277,638.40/416,150.40 = 153,068.80/x
  3. Step 3: Cross multiply
    277,638.40x = 416,150.40 × 153,068.80
  4. Step 4: Simplify right side
    277,638.40x = 63,699,642,347.52
  5. Step 5: Solve for x
    x = 63,699,642,347.52/277,638.40
  6. Step 6: Final answer
    x = 229,433.83

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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.