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Finding the Fourth Proportional to 472,089.52, 651,475.34 and 257,231.35

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Solution

The fourth proportional to 472,089.52, 651,475.34 and 257,231.35 is: 354,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,089.52 : 651,475.34 = 257,231.35 : x
  2. Step 2: Convert to fraction form
    472,089.52/651,475.34 = 257,231.35/x
  3. Step 3: Cross multiply
    472,089.52x = 651,475.34 × 257,231.35
  4. Step 4: Simplify right side
    472,089.52x = 167,579,879,913.75
  5. Step 5: Solve for x
    x = 167,579,879,913.75/472,089.52
  6. Step 6: Final answer
    x = 354,974.79

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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.