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Finding the Fourth Proportional to 478,371.17, 717,322.90 and 208,727.17

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Solution

The fourth proportional to 478,371.17, 717,322.90 and 208,727.17 is: 312,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,371.17 : 717,322.90 = 208,727.17 : x
  2. Step 2: Convert to fraction form
    478,371.17/717,322.90 = 208,727.17/x
  3. Step 3: Cross multiply
    478,371.17x = 717,322.90 × 208,727.17
  4. Step 4: Simplify right side
    478,371.17x = 149,724,776,254.22
  5. Step 5: Solve for x
    x = 149,724,776,254.22/478,371.17
  6. Step 6: Final answer
    x = 312,988.71

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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.