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Finding the Fourth Proportional to 464,456, 640,956.72 and 260,552.40

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Solution

The fourth proportional to 464,456, 640,956.72 and 260,552.40 is: 359,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,456 : 640,956.72 = 260,552.40 : x
  2. Step 2: Convert to fraction form
    464,456/640,956.72 = 260,552.40/x
  3. Step 3: Cross multiply
    464,456x = 640,956.72 × 260,552.40
  4. Step 4: Simplify right side
    464,456x = 167,002,811,692.13
  5. Step 5: Solve for x
    x = 167,002,811,692.13/464,456
  6. Step 6: Final answer
    x = 359,566.49

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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.