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Finding the Fourth Proportional to 557,085.62, 768,384.68 and 342,346.52

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Solution

The fourth proportional to 557,085.62, 768,384.68 and 342,346.52 is: 472,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,085.62 : 768,384.68 = 342,346.52 : x
  2. Step 2: Convert to fraction form
    557,085.62/768,384.68 = 342,346.52/x
  3. Step 3: Cross multiply
    557,085.62x = 768,384.68 × 342,346.52
  4. Step 4: Simplify right side
    557,085.62x = 263,053,821,219.31
  5. Step 5: Solve for x
    x = 263,053,821,219.31/557,085.62
  6. Step 6: Final answer
    x = 472,196.39

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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.