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Finding the Fourth Proportional to 705,748, 1,058,622 and 180,436

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Solution

The fourth proportional to 705,748, 1,058,622 and 180,436 is: 270,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,748 : 1,058,622 = 180,436 : x
  2. Step 2: Convert to fraction form
    705,748/1,058,622 = 180,436/x
  3. Step 3: Cross multiply
    705,748x = 1,058,622 × 180,436
  4. Step 4: Simplify right side
    705,748x = 191,013,519,192
  5. Step 5: Solve for x
    x = 191,013,519,192/705,748
  6. Step 6: Final answer
    x = 270,654

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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.