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Finding the Fourth Proportional to 472,070.52, 651,449.12 and 257,212.35

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Solution

The fourth proportional to 472,070.52, 651,449.12 and 257,212.35 is: 354,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,070.52 : 651,449.12 = 257,212.35 : x
  2. Step 2: Convert to fraction form
    472,070.52/651,449.12 = 257,212.35/x
  3. Step 3: Cross multiply
    472,070.52x = 651,449.12 × 257,212.35
  4. Step 4: Simplify right side
    472,070.52x = 167,560,757,774.57
  5. Step 5: Solve for x
    x = 167,560,757,774.57/472,070.52
  6. Step 6: Final answer
    x = 354,948.57

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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.