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Finding the Fourth Proportional to 340,644.36, 510,966.54 and 130,346.76

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Solution

The fourth proportional to 340,644.36, 510,966.54 and 130,346.76 is: 195,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,644.36 : 510,966.54 = 130,346.76 : x
  2. Step 2: Convert to fraction form
    340,644.36/510,966.54 = 130,346.76/x
  3. Step 3: Cross multiply
    340,644.36x = 510,966.54 × 130,346.76
  4. Step 4: Simplify right side
    340,644.36x = 66,602,832,957.41
  5. Step 5: Solve for x
    x = 66,602,832,957.41/340,644.36
  6. Step 6: Final answer
    x = 195,520.14

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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.