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Finding the Fourth Proportional to 429,199.80, 592,323.40 and 238,213.20

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Solution

The fourth proportional to 429,199.80, 592,323.40 and 238,213.20 is: 328,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,199.80 : 592,323.40 = 238,213.20 : x
  2. Step 2: Convert to fraction form
    429,199.80/592,323.40 = 238,213.20/x
  3. Step 3: Cross multiply
    429,199.80x = 592,323.40 × 238,213.20
  4. Step 4: Simplify right side
    429,199.80x = 141,099,252,548.88
  5. Step 5: Solve for x
    x = 141,099,252,548.88/429,199.80
  6. Step 6: Final answer
    x = 328,749.58

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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.