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Finding the Fourth Proportional to 478,161.25, 716,703.61 and 208,516.30

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Solution

The fourth proportional to 478,161.25, 716,703.61 and 208,516.30 is: 312,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,161.25 : 716,703.61 = 208,516.30 : x
  2. Step 2: Convert to fraction form
    478,161.25/716,703.61 = 208,516.30/x
  3. Step 3: Cross multiply
    478,161.25x = 716,703.61 × 208,516.30
  4. Step 4: Simplify right side
    478,161.25x = 149,444,384,953.84
  5. Step 5: Solve for x
    x = 149,444,384,953.84/478,161.25
  6. Step 6: Final answer
    x = 312,539.72

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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.