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Finding the Fourth Proportional to 557,002.85, 768,663.27 and 302,354.03

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Solution

The fourth proportional to 557,002.85, 768,663.27 and 302,354.03 is: 417,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,002.85 : 768,663.27 = 302,354.03 : x
  2. Step 2: Convert to fraction form
    557,002.85/768,663.27 = 302,354.03/x
  3. Step 3: Cross multiply
    557,002.85x = 768,663.27 × 302,354.03
  4. Step 4: Simplify right side
    557,002.85x = 232,408,439,319.14
  5. Step 5: Solve for x
    x = 232,408,439,319.14/557,002.85
  6. Step 6: Final answer
    x = 417,248.21

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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.