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Finding the Fourth Proportional to 283,400, 391,092.04 and 156,075.36

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Solution

The fourth proportional to 283,400, 391,092.04 and 156,075.36 is: 215,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,400 : 391,092.04 = 156,075.36 : x
  2. Step 2: Convert to fraction form
    283,400/391,092.04 = 156,075.36/x
  3. Step 3: Cross multiply
    283,400x = 391,092.04 × 156,075.36
  4. Step 4: Simplify right side
    283,400x = 61,039,830,936.13
  5. Step 5: Solve for x
    x = 61,039,830,936.13/283,400
  6. Step 6: Final answer
    x = 215,384.02

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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.