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Finding the Fourth Proportional to 509,088.36, 702,550.62 and 279,655.32

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Solution

The fourth proportional to 509,088.36, 702,550.62 and 279,655.32 is: 385,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,088.36 : 702,550.62 = 279,655.32 : x
  2. Step 2: Convert to fraction form
    509,088.36/702,550.62 = 279,655.32/x
  3. Step 3: Cross multiply
    509,088.36x = 702,550.62 × 279,655.32
  4. Step 4: Simplify right side
    509,088.36x = 196,472,018,452.30
  5. Step 5: Solve for x
    x = 196,472,018,452.30/509,088.36
  6. Step 6: Final answer
    x = 385,929.11

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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.