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Finding the Fourth Proportional to 665,213.60, 997,528.80 and 265,721.60

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Solution

The fourth proportional to 665,213.60, 997,528.80 and 265,721.60 is: 398,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,213.60 : 997,528.80 = 265,721.60 : x
  2. Step 2: Convert to fraction form
    665,213.60/997,528.80 = 265,721.60/x
  3. Step 3: Cross multiply
    665,213.60x = 997,528.80 × 265,721.60
  4. Step 4: Simplify right side
    665,213.60x = 265,064,948,782.08
  5. Step 5: Solve for x
    x = 265,064,948,782.08/665,213.60
  6. Step 6: Final answer
    x = 398,465.92

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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.