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Finding the Fourth Proportional to 577,695.45, 865,821.47 and 398,776.98

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Solution

The fourth proportional to 577,695.45, 865,821.47 and 398,776.98 is: 597,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,695.45 : 865,821.47 = 398,776.98 : x
  2. Step 2: Convert to fraction form
    577,695.45/865,821.47 = 398,776.98/x
  3. Step 3: Cross multiply
    577,695.45x = 865,821.47 × 398,776.98
  4. Step 4: Simplify right side
    577,695.45x = 345,269,669,031.88
  5. Step 5: Solve for x
    x = 345,269,669,031.88/577,695.45
  6. Step 6: Final answer
    x = 597,667.28

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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.