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Finding the Fourth Proportional to 876,450, 1,209,501.12 and 474,042

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Solution

The fourth proportional to 876,450, 1,209,501.12 and 474,042 is: 654,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,450 : 1,209,501.12 = 474,042 : x
  2. Step 2: Convert to fraction form
    876,450/1,209,501.12 = 474,042/x
  3. Step 3: Cross multiply
    876,450x = 1,209,501.12 × 474,042
  4. Step 4: Simplify right side
    876,450x = 573,354,329,927.04
  5. Step 5: Solve for x
    x = 573,354,329,927.04/876,450
  6. Step 6: Final answer
    x = 654,178.02

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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.