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Finding the Fourth Proportional to 506,196.32, 698,515.84 and 279,824

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Solution

The fourth proportional to 506,196.32, 698,515.84 and 279,824 is: 386,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,196.32 : 698,515.84 = 279,824 : x
  2. Step 2: Convert to fraction form
    506,196.32/698,515.84 = 279,824/x
  3. Step 3: Cross multiply
    506,196.32x = 698,515.84 × 279,824
  4. Step 4: Simplify right side
    506,196.32x = 195,461,496,412.16
  5. Step 5: Solve for x
    x = 195,461,496,412.16/506,196.32
  6. Step 6: Final answer
    x = 386,137.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.