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Finding the Fourth Proportional to 462,710.78, 638,554 and 258,769.40

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Solution

The fourth proportional to 462,710.78, 638,554 and 258,769.40 is: 357,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,710.78 : 638,554 = 258,769.40 : x
  2. Step 2: Convert to fraction form
    462,710.78/638,554 = 258,769.40/x
  3. Step 3: Cross multiply
    462,710.78x = 638,554 × 258,769.40
  4. Step 4: Simplify right side
    462,710.78x = 165,238,235,447.60
  5. Step 5: Solve for x
    x = 165,238,235,447.60/462,710.78
  6. Step 6: Final answer
    x = 357,109.11

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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.