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Finding the Fourth Proportional to 278,051.70, 383,714.08 and 150,726.98

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Solution

The fourth proportional to 278,051.70, 383,714.08 and 150,726.98 is: 208,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,051.70 : 383,714.08 = 150,726.98 : x
  2. Step 2: Convert to fraction form
    278,051.70/383,714.08 = 150,726.98/x
  3. Step 3: Cross multiply
    278,051.70x = 383,714.08 × 150,726.98
  4. Step 4: Simplify right side
    278,051.70x = 57,836,064,461.88
  5. Step 5: Solve for x
    x = 57,836,064,461.88/278,051.70
  6. Step 6: Final answer
    x = 208,004.71

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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.