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Finding the Fourth Proportional to 472,004.16, 651,068.16 and 280,874.88

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Solution

The fourth proportional to 472,004.16, 651,068.16 and 280,874.88 is: 387,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,004.16 : 651,068.16 = 280,874.88 : x
  2. Step 2: Convert to fraction form
    472,004.16/651,068.16 = 280,874.88/x
  3. Step 3: Cross multiply
    472,004.16x = 651,068.16 × 280,874.88
  4. Step 4: Simplify right side
    472,004.16x = 182,868,691,311.82
  5. Step 5: Solve for x
    x = 182,868,691,311.82/472,004.16
  6. Step 6: Final answer
    x = 387,430.25

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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.