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Finding the Fourth Proportional to 342,438.48, 472,681.70 and 199,318.76

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Solution

The fourth proportional to 342,438.48, 472,681.70 and 199,318.76 is: 275,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,438.48 : 472,681.70 = 199,318.76 : x
  2. Step 2: Convert to fraction form
    342,438.48/472,681.70 = 199,318.76/x
  3. Step 3: Cross multiply
    342,438.48x = 472,681.70 × 199,318.76
  4. Step 4: Simplify right side
    342,438.48x = 94,214,330,318.69
  5. Step 5: Solve for x
    x = 94,214,330,318.69/342,438.48
  6. Step 6: Final answer
    x = 275,127.76

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1.5x scale

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.