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Finding the Fourth Proportional to 876,388, 1,209,415.44 and 473,980

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Solution

The fourth proportional to 876,388, 1,209,415.44 and 473,980 is: 654,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,388 : 1,209,415.44 = 473,980 : x
  2. Step 2: Convert to fraction form
    876,388/1,209,415.44 = 473,980/x
  3. Step 3: Cross multiply
    876,388x = 1,209,415.44 × 473,980
  4. Step 4: Simplify right side
    876,388x = 573,238,730,251.20
  5. Step 5: Solve for x
    x = 573,238,730,251.20/876,388
  6. Step 6: Final answer
    x = 654,092.40

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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.