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Finding the Fourth Proportional to 340,509.76, 510,794.01 and 87,788.10

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Solution

The fourth proportional to 340,509.76, 510,794.01 and 87,788.10 is: 131,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,509.76 : 510,794.01 = 87,788.10 : x
  2. Step 2: Convert to fraction form
    340,509.76/510,794.01 = 87,788.10/x
  3. Step 3: Cross multiply
    340,509.76x = 510,794.01 × 87,788.10
  4. Step 4: Simplify right side
    340,509.76x = 44,841,635,629.28
  5. Step 5: Solve for x
    x = 44,841,635,629.28/340,509.76
  6. Step 6: Final answer
    x = 131,689.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.