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Finding the Fourth Proportional to 464,408.96, 640,881.86 and 257,675.42

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Solution

The fourth proportional to 464,408.96, 640,881.86 and 257,675.42 is: 355,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,408.96 : 640,881.86 = 257,675.42 : x
  2. Step 2: Convert to fraction form
    464,408.96/640,881.86 = 257,675.42/x
  3. Step 3: Cross multiply
    464,408.96x = 640,881.86 × 257,675.42
  4. Step 4: Simplify right side
    464,408.96x = 165,139,502,759.71
  5. Step 5: Solve for x
    x = 165,139,502,759.71/464,408.96
  6. Step 6: Final answer
    x = 355,590.69

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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.