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Finding the Fourth Proportional to 402,905.40, 604,358.10 and 262,822.20

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Solution

The fourth proportional to 402,905.40, 604,358.10 and 262,822.20 is: 394,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,905.40 : 604,358.10 = 262,822.20 : x
  2. Step 2: Convert to fraction form
    402,905.40/604,358.10 = 262,822.20/x
  3. Step 3: Cross multiply
    402,905.40x = 604,358.10 × 262,822.20
  4. Step 4: Simplify right side
    402,905.40x = 158,838,725,429.82
  5. Step 5: Solve for x
    x = 158,838,725,429.82/402,905.40
  6. Step 6: Final answer
    x = 394,233.30

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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.