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Finding the Fourth Proportional to 557,004.97, 768,666.20 and 302,356.16

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Solution

The fourth proportional to 557,004.97, 768,666.20 and 302,356.16 is: 417,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,004.97 : 768,666.20 = 302,356.16 : x
  2. Step 2: Convert to fraction form
    557,004.97/768,666.20 = 302,356.16/x
  3. Step 3: Cross multiply
    557,004.97x = 768,666.20 × 302,356.16
  4. Step 4: Simplify right side
    557,004.97x = 232,410,960,553.79
  5. Step 5: Solve for x
    x = 232,410,960,553.79/557,004.97
  6. Step 6: Final answer
    x = 417,251.14

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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.