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Finding the Fourth Proportional to 398,429.70, 596,953.35 and 258,116.10

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Solution

The fourth proportional to 398,429.70, 596,953.35 and 258,116.10 is: 386,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,429.70 : 596,953.35 = 258,116.10 : x
  2. Step 2: Convert to fraction form
    398,429.70/596,953.35 = 258,116.10/x
  3. Step 3: Cross multiply
    398,429.70x = 596,953.35 × 258,116.10
  4. Step 4: Simplify right side
    398,429.70x = 154,083,270,583.94
  5. Step 5: Solve for x
    x = 154,083,270,583.94/398,429.70
  6. Step 6: Final answer
    x = 386,726.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.