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Finding the Fourth Proportional to 462,883.72, 638,749.40 and 258,899.30

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Solution

The fourth proportional to 462,883.72, 638,749.40 and 258,899.30 is: 357,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,883.72 : 638,749.40 = 258,899.30 : x
  2. Step 2: Convert to fraction form
    462,883.72/638,749.40 = 258,899.30/x
  3. Step 3: Cross multiply
    462,883.72x = 638,749.40 × 258,899.30
  4. Step 4: Simplify right side
    462,883.72x = 165,371,772,535.42
  5. Step 5: Solve for x
    x = 165,371,772,535.42/462,883.72
  6. Step 6: Final answer
    x = 357,264.18

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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.