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Finding the Fourth Proportional to 876,456, 1,209,509.40 and 474,048

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Solution

The fourth proportional to 876,456, 1,209,509.40 and 474,048 is: 654,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,456 : 1,209,509.40 = 474,048 : x
  2. Step 2: Convert to fraction form
    876,456/1,209,509.40 = 474,048/x
  3. Step 3: Cross multiply
    876,456x = 1,209,509.40 × 474,048
  4. Step 4: Simplify right side
    876,456x = 573,365,512,051.20
  5. Step 5: Solve for x
    x = 573,365,512,051.20/876,456
  6. Step 6: Final answer
    x = 654,186.30

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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.