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Finding the Fourth Proportional to 310,655.91, 465,688.59 and 198,019.95

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Solution

The fourth proportional to 310,655.91, 465,688.59 and 198,019.95 is: 296,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,655.91 : 465,688.59 = 198,019.95 : x
  2. Step 2: Convert to fraction form
    310,655.91/465,688.59 = 198,019.95/x
  3. Step 3: Cross multiply
    310,655.91x = 465,688.59 × 198,019.95
  4. Step 4: Simplify right side
    310,655.91x = 92,215,631,307.37
  5. Step 5: Solve for x
    x = 92,215,631,307.37/310,655.91
  6. Step 6: Final answer
    x = 296,841.71

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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.