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Finding the Fourth Proportional to 369,872.78, 510,451.40 and 208,741.91

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Solution

The fourth proportional to 369,872.78, 510,451.40 and 208,741.91 is: 288,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,872.78 : 510,451.40 = 208,741.91 : x
  2. Step 2: Convert to fraction form
    369,872.78/510,451.40 = 208,741.91/x
  3. Step 3: Cross multiply
    369,872.78x = 510,451.40 × 208,741.91
  4. Step 4: Simplify right side
    369,872.78x = 106,552,598,167.77
  5. Step 5: Solve for x
    x = 106,552,598,167.77/369,872.78
  6. Step 6: Final answer
    x = 288,079.05

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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.