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Finding the Fourth Proportional to 333,492.47, 500,508.43 and 258,434.63

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Solution

The fourth proportional to 333,492.47, 500,508.43 and 258,434.63 is: 387,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,492.47 : 500,508.43 = 258,434.63 : x
  2. Step 2: Convert to fraction form
    333,492.47/500,508.43 = 258,434.63/x
  3. Step 3: Cross multiply
    333,492.47x = 500,508.43 × 258,434.63
  4. Step 4: Simplify right side
    333,492.47x = 129,348,707,770.30
  5. Step 5: Solve for x
    x = 129,348,707,770.30/333,492.47
  6. Step 6: Final answer
    x = 387,860.96

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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.