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Finding the Fourth Proportional to 409,456.76, 565,172 and 258,654.20

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Solution

The fourth proportional to 409,456.76, 565,172 and 258,654.20 is: 357,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,456.76 : 565,172 = 258,654.20 : x
  2. Step 2: Convert to fraction form
    409,456.76/565,172 = 258,654.20/x
  3. Step 3: Cross multiply
    409,456.76x = 565,172 × 258,654.20
  4. Step 4: Simplify right side
    409,456.76x = 146,184,111,522.40
  5. Step 5: Solve for x
    x = 146,184,111,522.40/409,456.76
  6. Step 6: Final answer
    x = 357,019.66

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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.