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Finding the Fourth Proportional to 769,492, 1,061,879.16 and 429,963.04

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Solution

The fourth proportional to 769,492, 1,061,879.16 and 429,963.04 is: 593,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,492 : 1,061,879.16 = 429,963.04 : x
  2. Step 2: Convert to fraction form
    769,492/1,061,879.16 = 429,963.04/x
  3. Step 3: Cross multiply
    769,492x = 1,061,879.16 × 429,963.04
  4. Step 4: Simplify right side
    769,492x = 456,568,791,746.25
  5. Step 5: Solve for x
    x = 456,568,791,746.25/769,492
  6. Step 6: Final answer
    x = 593,337.93

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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.