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Finding the Fourth Proportional to 346,080, 477,157.68 and 288,801.84

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Solution

The fourth proportional to 346,080, 477,157.68 and 288,801.84 is: 398,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,080 : 477,157.68 = 288,801.84 : x
  2. Step 2: Convert to fraction form
    346,080/477,157.68 = 288,801.84/x
  3. Step 3: Cross multiply
    346,080x = 477,157.68 × 288,801.84
  4. Step 4: Simplify right side
    346,080x = 137,804,015,954.13
  5. Step 5: Solve for x
    x = 137,804,015,954.13/346,080
  6. Step 6: Final answer
    x = 398,185.44

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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.