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Finding the Fourth Proportional to 506,168.32, 698,477.16 and 279,796

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Solution

The fourth proportional to 506,168.32, 698,477.16 and 279,796 is: 386,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,168.32 : 698,477.16 = 279,796 : x
  2. Step 2: Convert to fraction form
    506,168.32/698,477.16 = 279,796/x
  3. Step 3: Cross multiply
    506,168.32x = 698,477.16 × 279,796
  4. Step 4: Simplify right side
    506,168.32x = 195,431,115,459.36
  5. Step 5: Solve for x
    x = 195,431,115,459.36/506,168.32
  6. Step 6: Final answer
    x = 386,099.07

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Why These Related Problems?

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