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Finding the Fourth Proportional to 305,721.30, 458,678.81 and 238,483.86

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Solution

The fourth proportional to 305,721.30, 458,678.81 and 238,483.86 is: 357,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,721.30 : 458,678.81 = 238,483.86 : x
  2. Step 2: Convert to fraction form
    305,721.30/458,678.81 = 238,483.86/x
  3. Step 3: Cross multiply
    305,721.30x = 458,678.81 × 238,483.86
  4. Step 4: Simplify right side
    305,721.30x = 109,387,493,109.01
  5. Step 5: Solve for x
    x = 109,387,493,109.01/305,721.30
  6. Step 6: Final answer
    x = 357,801.35

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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.