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Finding the Fourth Proportional to 382,752, 574,248.96 and 172,408.32

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Solution

The fourth proportional to 382,752, 574,248.96 and 172,408.32 is: 258,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,752 : 574,248.96 = 172,408.32 : x
  2. Step 2: Convert to fraction form
    382,752/574,248.96 = 172,408.32/x
  3. Step 3: Cross multiply
    382,752x = 574,248.96 × 172,408.32
  4. Step 4: Simplify right side
    382,752x = 99,005,298,455.35
  5. Step 5: Solve for x
    x = 99,005,298,455.35/382,752
  6. Step 6: Final answer
    x = 258,666.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.