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Finding the Fourth Proportional to 369,864.78, 510,461.91 and 274,643.34

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Solution

The fourth proportional to 369,864.78, 510,461.91 and 274,643.34 is: 379,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,864.78 : 510,461.91 = 274,643.34 : x
  2. Step 2: Convert to fraction form
    369,864.78/510,461.91 = 274,643.34/x
  3. Step 3: Cross multiply
    369,864.78x = 510,461.91 × 274,643.34
  4. Step 4: Simplify right side
    369,864.78x = 140,194,963,905.18
  5. Step 5: Solve for x
    x = 140,194,963,905.18/369,864.78
  6. Step 6: Final answer
    x = 379,043.83

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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.