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Finding the Fourth Proportional to 398,261.30, 596,407.80 and 264,416.90

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Solution

The fourth proportional to 398,261.30, 596,407.80 and 264,416.90 is: 395,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,261.30 : 596,407.80 = 264,416.90 : x
  2. Step 2: Convert to fraction form
    398,261.30/596,407.80 = 264,416.90/x
  3. Step 3: Cross multiply
    398,261.30x = 596,407.80 × 264,416.90
  4. Step 4: Simplify right side
    398,261.30x = 157,700,301,611.82
  5. Step 5: Solve for x
    x = 157,700,301,611.82/398,261.30
  6. Step 6: Final answer
    x = 395,971.95

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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.