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Finding the Fourth Proportional to 474,012, 711,018 and 141,588

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Solution

The fourth proportional to 474,012, 711,018 and 141,588 is: 212,382

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,012 : 711,018 = 141,588 : x
  2. Step 2: Convert to fraction form
    474,012/711,018 = 141,588/x
  3. Step 3: Cross multiply
    474,012x = 711,018 × 141,588
  4. Step 4: Simplify right side
    474,012x = 100,671,616,584
  5. Step 5: Solve for x
    x = 100,671,616,584/474,012
  6. Step 6: Final answer
    x = 212,382

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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.