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Finding the Fourth Proportional to 340,440.78, 510,695.01 and 130,255.50

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Solution

The fourth proportional to 340,440.78, 510,695.01 and 130,255.50 is: 195,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,440.78 : 510,695.01 = 130,255.50 : x
  2. Step 2: Convert to fraction form
    340,440.78/510,695.01 = 130,255.50/x
  3. Step 3: Cross multiply
    340,440.78x = 510,695.01 × 130,255.50
  4. Step 4: Simplify right side
    340,440.78x = 66,520,833,875.06
  5. Step 5: Solve for x
    x = 66,520,833,875.06/340,440.78
  6. Step 6: Final answer
    x = 195,396.20

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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.