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Finding the Fourth Proportional to 509,988.04, 703,779.60 and 280,540.38

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Solution

The fourth proportional to 509,988.04, 703,779.60 and 280,540.38 is: 387,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,988.04 : 703,779.60 = 280,540.38 : x
  2. Step 2: Convert to fraction form
    509,988.04/703,779.60 = 280,540.38/x
  3. Step 3: Cross multiply
    509,988.04x = 703,779.60 × 280,540.38
  4. Step 4: Simplify right side
    509,988.04x = 197,438,596,420.25
  5. Step 5: Solve for x
    x = 197,438,596,420.25/509,988.04
  6. Step 6: Final answer
    x = 387,143.58

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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.