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Finding the Fourth Proportional to 1,029,878, 1,421,319.12 and 577,256.48

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Solution

The fourth proportional to 1,029,878, 1,421,319.12 and 577,256.48 is: 796,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,878 : 1,421,319.12 = 577,256.48 : x
  2. Step 2: Convert to fraction form
    1,029,878/1,421,319.12 = 577,256.48/x
  3. Step 3: Cross multiply
    1,029,878x = 1,421,319.12 × 577,256.48
  4. Step 4: Simplify right side
    1,029,878x = 820,465,672,167.90
  5. Step 5: Solve for x
    x = 820,465,672,167.90/1,029,878
  6. Step 6: Final answer
    x = 796,662.98

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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.