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Finding the Fourth Proportional to 218,998, 302,217.65 and 118,396

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Solution

The fourth proportional to 218,998, 302,217.65 and 118,396 is: 163,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,998 : 302,217.65 = 118,396 : x
  2. Step 2: Convert to fraction form
    218,998/302,217.65 = 118,396/x
  3. Step 3: Cross multiply
    218,998x = 302,217.65 × 118,396
  4. Step 4: Simplify right side
    218,998x = 35,781,360,889.40
  5. Step 5: Solve for x
    x = 35,781,360,889.40/218,998
  6. Step 6: Final answer
    x = 163,386.70

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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.