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Finding the Fourth Proportional to 658,813.16, 988,832.10 and 259,729.40

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Solution

The fourth proportional to 658,813.16, 988,832.10 and 259,729.40 is: 389,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,813.16 : 988,832.10 = 259,729.40 : x
  2. Step 2: Convert to fraction form
    658,813.16/988,832.10 = 259,729.40/x
  3. Step 3: Cross multiply
    658,813.16x = 988,832.10 × 259,729.40
  4. Step 4: Simplify right side
    658,813.16x = 256,828,768,033.74
  5. Step 5: Solve for x
    x = 256,828,768,033.74/658,813.16
  6. Step 6: Final answer
    x = 389,835.52

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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.