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Finding the Fourth Proportional to 342,275.40, 472,356.66 and 189,312.96

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Solution

The fourth proportional to 342,275.40, 472,356.66 and 189,312.96 is: 261,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,275.40 : 472,356.66 = 189,312.96 : x
  2. Step 2: Convert to fraction form
    342,275.40/472,356.66 = 189,312.96/x
  3. Step 3: Cross multiply
    342,275.40x = 472,356.66 × 189,312.96
  4. Step 4: Simplify right side
    342,275.40x = 89,423,237,480.31
  5. Step 5: Solve for x
    x = 89,423,237,480.31/342,275.40
  6. Step 6: Final answer
    x = 261,261.07

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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.