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Finding the Fourth Proportional to 429,138.54, 592,199.91 and 238,147.02

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Solution

The fourth proportional to 429,138.54, 592,199.91 and 238,147.02 is: 328,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,138.54 : 592,199.91 = 238,147.02 : x
  2. Step 2: Convert to fraction form
    429,138.54/592,199.91 = 238,147.02/x
  3. Step 3: Cross multiply
    429,138.54x = 592,199.91 × 238,147.02
  4. Step 4: Simplify right side
    429,138.54x = 141,030,643,810.77
  5. Step 5: Solve for x
    x = 141,030,643,810.77/429,138.54
  6. Step 6: Final answer
    x = 328,636.63

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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.