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Finding the Fourth Proportional to 310,472.81, 465,332.83 and 220,373.81

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Solution

The fourth proportional to 310,472.81, 465,332.83 and 220,373.81 is: 330,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,472.81 : 465,332.83 = 220,373.81 : x
  2. Step 2: Convert to fraction form
    310,472.81/465,332.83 = 220,373.81/x
  3. Step 3: Cross multiply
    310,472.81x = 465,332.83 × 220,373.81
  4. Step 4: Simplify right side
    310,472.81x = 102,547,168,665.18
  5. Step 5: Solve for x
    x = 102,547,168,665.18/310,472.81
  6. Step 6: Final answer
    x = 330,293.56

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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.