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Finding the Fourth Proportional to 342,470.24, 472,741.40 and 306,597.90

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Solution

The fourth proportional to 342,470.24, 472,741.40 and 306,597.90 is: 423,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,470.24 : 472,741.40 = 306,597.90 : x
  2. Step 2: Convert to fraction form
    342,470.24/472,741.40 = 306,597.90/x
  3. Step 3: Cross multiply
    342,470.24x = 472,741.40 × 306,597.90
  4. Step 4: Simplify right side
    342,470.24x = 144,941,521,297.72
  5. Step 5: Solve for x
    x = 144,941,521,297.72/342,470.24
  6. Step 6: Final answer
    x = 423,223.70

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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.