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Finding the Fourth Proportional to 557,000, 768,661.35 and 302,351.12

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Solution

The fourth proportional to 557,000, 768,661.35 and 302,351.12 is: 417,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,000 : 768,661.35 = 302,351.12 : x
  2. Step 2: Convert to fraction form
    557,000/768,661.35 = 302,351.12/x
  3. Step 3: Cross multiply
    557,000x = 768,661.35 × 302,351.12
  4. Step 4: Simplify right side
    557,000x = 232,405,620,073.21
  5. Step 5: Solve for x
    x = 232,405,620,073.21/557,000
  6. Step 6: Final answer
    x = 417,245.28

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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.