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Finding the Fourth Proportional to 469,866.18, 648,415.72 and 255,006.20

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Solution

The fourth proportional to 469,866.18, 648,415.72 and 255,006.20 is: 351,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,866.18 : 648,415.72 = 255,006.20 : x
  2. Step 2: Convert to fraction form
    469,866.18/648,415.72 = 255,006.20/x
  3. Step 3: Cross multiply
    469,866.18x = 648,415.72 × 255,006.20
  4. Step 4: Simplify right side
    469,866.18x = 165,350,028,777.46
  5. Step 5: Solve for x
    x = 165,350,028,777.46/469,866.18
  6. Step 6: Final answer
    x = 351,908.77

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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.