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Finding the Fourth Proportional to 434,774.80, 652,162.20 and 384,911.20

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Solution

The fourth proportional to 434,774.80, 652,162.20 and 384,911.20 is: 577,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,774.80 : 652,162.20 = 384,911.20 : x
  2. Step 2: Convert to fraction form
    434,774.80/652,162.20 = 384,911.20/x
  3. Step 3: Cross multiply
    434,774.80x = 652,162.20 × 384,911.20
  4. Step 4: Simplify right side
    434,774.80x = 251,024,534,996.64
  5. Step 5: Solve for x
    x = 251,024,534,996.64/434,774.80
  6. Step 6: Final answer
    x = 577,366.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.