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Finding the Fourth Proportional to 288,051.30, 432,076.95 and 271,721.70

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Solution

The fourth proportional to 288,051.30, 432,076.95 and 271,721.70 is: 407,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,051.30 : 432,076.95 = 271,721.70 : x
  2. Step 2: Convert to fraction form
    288,051.30/432,076.95 = 271,721.70/x
  3. Step 3: Cross multiply
    288,051.30x = 432,076.95 × 271,721.70
  4. Step 4: Simplify right side
    288,051.30x = 117,404,683,384.82
  5. Step 5: Solve for x
    x = 117,404,683,384.82/288,051.30
  6. Step 6: Final answer
    x = 407,582.55

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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.