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Finding the Fourth Proportional to 391,537.18, 540,192.81 and 219,430

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Solution

The fourth proportional to 391,537.18, 540,192.81 and 219,430 is: 302,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,537.18 : 540,192.81 = 219,430 : x
  2. Step 2: Convert to fraction form
    391,537.18/540,192.81 = 219,430/x
  3. Step 3: Cross multiply
    391,537.18x = 540,192.81 × 219,430
  4. Step 4: Simplify right side
    391,537.18x = 118,534,508,298.30
  5. Step 5: Solve for x
    x = 118,534,508,298.30/391,537.18
  6. Step 6: Final answer
    x = 302,741.39

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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.