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Finding the Fourth Proportional to 378,280.40, 522,024.24 and 208,514.24

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Solution

The fourth proportional to 378,280.40, 522,024.24 and 208,514.24 is: 287,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,280.40 : 522,024.24 = 208,514.24 : x
  2. Step 2: Convert to fraction form
    378,280.40/522,024.24 = 208,514.24/x
  3. Step 3: Cross multiply
    378,280.40x = 522,024.24 × 208,514.24
  4. Step 4: Simplify right side
    378,280.40x = 108,849,487,665.18
  5. Step 5: Solve for x
    x = 108,849,487,665.18/378,280.40
  6. Step 6: Final answer
    x = 287,748.16

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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.