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Finding the Fourth Proportional to 461,307.32, 691,990.16 and 195,018.20

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Solution

The fourth proportional to 461,307.32, 691,990.16 and 195,018.20 is: 292,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,307.32 : 691,990.16 = 195,018.20 : x
  2. Step 2: Convert to fraction form
    461,307.32/691,990.16 = 195,018.20/x
  3. Step 3: Cross multiply
    461,307.32x = 691,990.16 × 195,018.20
  4. Step 4: Simplify right side
    461,307.32x = 134,950,675,420.91
  5. Step 5: Solve for x
    x = 134,950,675,420.91/461,307.32
  6. Step 6: Final answer
    x = 292,539.64

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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.