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Finding the Fourth Proportional to 400,703.52, 601,657.38 and 381,443.88

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Solution

The fourth proportional to 400,703.52, 601,657.38 and 381,443.88 is: 572,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,703.52 : 601,657.38 = 381,443.88 : x
  2. Step 2: Convert to fraction form
    400,703.52/601,657.38 = 381,443.88/x
  3. Step 3: Cross multiply
    400,703.52x = 601,657.38 × 381,443.88
  4. Step 4: Simplify right side
    400,703.52x = 229,498,525,457.83
  5. Step 5: Solve for x
    x = 229,498,525,457.83/400,703.52
  6. Step 6: Final answer
    x = 572,738.98

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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.