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Finding the Fourth Proportional to 462,820.95, 638,752.05 and 258,883.20

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Solution

The fourth proportional to 462,820.95, 638,752.05 and 258,883.20 is: 357,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,820.95 : 638,752.05 = 258,883.20 : x
  2. Step 2: Convert to fraction form
    462,820.95/638,752.05 = 258,883.20/x
  3. Step 3: Cross multiply
    462,820.95x = 638,752.05 × 258,883.20
  4. Step 4: Simplify right side
    462,820.95x = 165,362,174,710.56
  5. Step 5: Solve for x
    x = 165,362,174,710.56/462,820.95
  6. Step 6: Final answer
    x = 357,291.90

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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.