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Finding the Fourth Proportional to 435,380, 653,070 and 154,898.06

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Solution

The fourth proportional to 435,380, 653,070 and 154,898.06 is: 232,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,380 : 653,070 = 154,898.06 : x
  2. Step 2: Convert to fraction form
    435,380/653,070 = 154,898.06/x
  3. Step 3: Cross multiply
    435,380x = 653,070 × 154,898.06
  4. Step 4: Simplify right side
    435,380x = 101,159,276,044.20
  5. Step 5: Solve for x
    x = 101,159,276,044.20/435,380
  6. Step 6: Final answer
    x = 232,347.09

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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.