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Finding the Fourth Proportional to 342,931.48, 473,240.30 and 189,969.20

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Solution

The fourth proportional to 342,931.48, 473,240.30 and 189,969.20 is: 262,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,931.48 : 473,240.30 = 189,969.20 : x
  2. Step 2: Convert to fraction form
    342,931.48/473,240.30 = 189,969.20/x
  3. Step 3: Cross multiply
    342,931.48x = 473,240.30 × 189,969.20
  4. Step 4: Simplify right side
    342,931.48x = 89,901,081,198.76
  5. Step 5: Solve for x
    x = 89,901,081,198.76/342,931.48
  6. Step 6: Final answer
    x = 262,154.65

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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.