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Finding the Fourth Proportional to 557,000.85, 768,660.51 and 302,352.04

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Solution

The fourth proportional to 557,000.85, 768,660.51 and 302,352.04 is: 417,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,000.85 : 768,660.51 = 302,352.04 : x
  2. Step 2: Convert to fraction form
    557,000.85/768,660.51 = 302,352.04/x
  3. Step 3: Cross multiply
    557,000.85x = 768,660.51 × 302,352.04
  4. Step 4: Simplify right side
    557,000.85x = 232,406,073,265.94
  5. Step 5: Solve for x
    x = 232,406,073,265.94/557,000.85
  6. Step 6: Final answer
    x = 417,245.46

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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.