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Finding the Fourth Proportional to 340,442.28, 510,697.26 and 130,257

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Solution

The fourth proportional to 340,442.28, 510,697.26 and 130,257 is: 195,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,442.28 : 510,697.26 = 130,257 : x
  2. Step 2: Convert to fraction form
    340,442.28/510,697.26 = 130,257/x
  3. Step 3: Cross multiply
    340,442.28x = 510,697.26 × 130,257
  4. Step 4: Simplify right side
    340,442.28x = 66,521,892,995.82
  5. Step 5: Solve for x
    x = 66,521,892,995.82/340,442.28
  6. Step 6: Final answer
    x = 195,398.45

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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.