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Finding the Fourth Proportional to 310,042.61, 427,988.81 and 209,576.69

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Solution

The fourth proportional to 310,042.61, 427,988.81 and 209,576.69 is: 289,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,042.61 : 427,988.81 = 209,576.69 : x
  2. Step 2: Convert to fraction form
    310,042.61/427,988.81 = 209,576.69/x
  3. Step 3: Cross multiply
    310,042.61x = 427,988.81 × 209,576.69
  4. Step 4: Simplify right side
    310,042.61x = 89,696,477,108.96
  5. Step 5: Solve for x
    x = 89,696,477,108.96/310,042.61
  6. Step 6: Final answer
    x = 289,303.71

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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.