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Finding the Fourth Proportional to 357,624, 493,302.24 and 212,331.21

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Solution

The fourth proportional to 357,624, 493,302.24 and 212,331.21 is: 292,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,624 : 493,302.24 = 212,331.21 : x
  2. Step 2: Convert to fraction form
    357,624/493,302.24 = 212,331.21/x
  3. Step 3: Cross multiply
    357,624x = 493,302.24 × 212,331.21
  4. Step 4: Simplify right side
    357,624x = 104,743,461,514.91
  5. Step 5: Solve for x
    x = 104,743,461,514.91/357,624
  6. Step 6: Final answer
    x = 292,887.11

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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.