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Finding the Fourth Proportional to 478,012.98, 717,039.24 and 141,053.61

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Solution

The fourth proportional to 478,012.98, 717,039.24 and 141,053.61 is: 211,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,012.98 : 717,039.24 = 141,053.61 : x
  2. Step 2: Convert to fraction form
    478,012.98/717,039.24 = 141,053.61/x
  3. Step 3: Cross multiply
    478,012.98x = 717,039.24 × 141,053.61
  4. Step 4: Simplify right side
    478,012.98x = 101,140,973,313.66
  5. Step 5: Solve for x
    x = 101,140,973,313.66/478,012.98
  6. Step 6: Final answer
    x = 211,586.25

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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.