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Finding the Fourth Proportional to 509,423.91, 703,008.79 and 279,985.10

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Solution

The fourth proportional to 509,423.91, 703,008.79 and 279,985.10 is: 386,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,423.91 : 703,008.79 = 279,985.10 : x
  2. Step 2: Convert to fraction form
    509,423.91/703,008.79 = 279,985.10/x
  3. Step 3: Cross multiply
    509,423.91x = 703,008.79 × 279,985.10
  4. Step 4: Simplify right side
    509,423.91x = 196,831,984,969.10
  5. Step 5: Solve for x
    x = 196,831,984,969.10/509,423.91
  6. Step 6: Final answer
    x = 386,381.52

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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.