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Finding the Fourth Proportional to 557,343.02, 769,108.47 and 315,620.48

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Solution

The fourth proportional to 557,343.02, 769,108.47 and 315,620.48 is: 435,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,343.02 : 769,108.47 = 315,620.48 : x
  2. Step 2: Convert to fraction form
    557,343.02/769,108.47 = 315,620.48/x
  3. Step 3: Cross multiply
    557,343.02x = 769,108.47 × 315,620.48
  4. Step 4: Simplify right side
    557,343.02x = 242,746,384,473.47
  5. Step 5: Solve for x
    x = 242,746,384,473.47/557,343.02
  6. Step 6: Final answer
    x = 435,542.16

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1.5x scale

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.