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Finding the Fourth Proportional to 768,704.64, 1,060,767.84 and 429,194.40

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Solution

The fourth proportional to 768,704.64, 1,060,767.84 and 429,194.40 is: 592,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,704.64 : 1,060,767.84 = 429,194.40 : x
  2. Step 2: Convert to fraction form
    768,704.64/1,060,767.84 = 429,194.40/x
  3. Step 3: Cross multiply
    768,704.64x = 1,060,767.84 × 429,194.40
  4. Step 4: Simplify right side
    768,704.64x = 455,275,616,628.10
  5. Step 5: Solve for x
    x = 455,275,616,628.10/768,704.64
  6. Step 6: Final answer
    x = 592,263.39

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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.