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Finding the Fourth Proportional to 876,390, 1,209,418.20 and 473,982

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Solution

The fourth proportional to 876,390, 1,209,418.20 and 473,982 is: 654,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,390 : 1,209,418.20 = 473,982 : x
  2. Step 2: Convert to fraction form
    876,390/1,209,418.20 = 473,982/x
  3. Step 3: Cross multiply
    876,390x = 1,209,418.20 × 473,982
  4. Step 4: Simplify right side
    876,390x = 573,242,457,272.40
  5. Step 5: Solve for x
    x = 573,242,457,272.40/876,390
  6. Step 6: Final answer
    x = 654,095.16

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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.