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Finding the Fourth Proportional to 462,726.39, 638,417.12 and 258,749.76

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Solution

The fourth proportional to 462,726.39, 638,417.12 and 258,749.76 is: 356,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,726.39 : 638,417.12 = 258,749.76 : x
  2. Step 2: Convert to fraction form
    462,726.39/638,417.12 = 258,749.76/x
  3. Step 3: Cross multiply
    462,726.39x = 638,417.12 × 258,749.76
  4. Step 4: Simplify right side
    462,726.39x = 165,190,276,579.89
  5. Step 5: Solve for x
    x = 165,190,276,579.89/462,726.39
  6. Step 6: Final answer
    x = 356,993.42

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1.5x scale

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.