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Finding the Fourth Proportional to 462,377.76, 638,068.75 and 258,430.29

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Solution

The fourth proportional to 462,377.76, 638,068.75 and 258,430.29 is: 356,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,377.76 : 638,068.75 = 258,430.29 : x
  2. Step 2: Convert to fraction form
    462,377.76/638,068.75 = 258,430.29/x
  3. Step 3: Cross multiply
    462,377.76x = 638,068.75 × 258,430.29
  4. Step 4: Simplify right side
    462,377.76x = 164,896,292,102.44
  5. Step 5: Solve for x
    x = 164,896,292,102.44/462,377.76
  6. Step 6: Final answer
    x = 356,626.78

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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.