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Finding the Fourth Proportional to 429,129.95, 592,138.88 and 257,007.57

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Solution

The fourth proportional to 429,129.95, 592,138.88 and 257,007.57 is: 354,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,129.95 : 592,138.88 = 257,007.57 : x
  2. Step 2: Convert to fraction form
    429,129.95/592,138.88 = 257,007.57/x
  3. Step 3: Cross multiply
    429,129.95x = 592,138.88 × 257,007.57
  4. Step 4: Simplify right side
    429,129.95x = 152,184,173,366.28
  5. Step 5: Solve for x
    x = 152,184,173,366.28/429,129.95
  6. Step 6: Final answer
    x = 354,634.24

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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.