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Finding the Fourth Proportional to 411,278, 567,559.70 and 229,987.84

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Solution

The fourth proportional to 411,278, 567,559.70 and 229,987.84 is: 317,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,278 : 567,559.70 = 229,987.84 : x
  2. Step 2: Convert to fraction form
    411,278/567,559.70 = 229,987.84/x
  3. Step 3: Cross multiply
    411,278x = 567,559.70 × 229,987.84
  4. Step 4: Simplify right side
    411,278x = 130,531,829,474.05
  5. Step 5: Solve for x
    x = 130,531,829,474.05/411,278
  6. Step 6: Final answer
    x = 317,381.02

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1.5x scale

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.