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Finding the Fourth Proportional to 509,055.52, 702,500.88 and 282,704.80

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Solution

The fourth proportional to 509,055.52, 702,500.88 and 282,704.80 is: 390,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,055.52 : 702,500.88 = 282,704.80 : x
  2. Step 2: Convert to fraction form
    509,055.52/702,500.88 = 282,704.80/x
  3. Step 3: Cross multiply
    509,055.52x = 702,500.88 × 282,704.80
  4. Step 4: Simplify right side
    509,055.52x = 198,600,370,780.22
  5. Step 5: Solve for x
    x = 198,600,370,780.22/509,055.52
  6. Step 6: Final answer
    x = 390,134.99

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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.