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Finding the Fourth Proportional to 472,418.76, 651,939.94 and 302,751.30

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Solution

The fourth proportional to 472,418.76, 651,939.94 and 302,751.30 is: 417,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,418.76 : 651,939.94 = 302,751.30 : x
  2. Step 2: Convert to fraction form
    472,418.76/651,939.94 = 302,751.30/x
  3. Step 3: Cross multiply
    472,418.76x = 651,939.94 × 302,751.30
  4. Step 4: Simplify right side
    472,418.76x = 197,375,664,356.92
  5. Step 5: Solve for x
    x = 197,375,664,356.92/472,418.76
  6. Step 6: Final answer
    x = 417,798.11

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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.