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Finding the Fourth Proportional to 340,166.40, 510,030.90 and 140,566.20

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Solution

The fourth proportional to 340,166.40, 510,030.90 and 140,566.20 is: 210,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,166.40 : 510,030.90 = 140,566.20 : x
  2. Step 2: Convert to fraction form
    340,166.40/510,030.90 = 140,566.20/x
  3. Step 3: Cross multiply
    340,166.40x = 510,030.90 × 140,566.20
  4. Step 4: Simplify right side
    340,166.40x = 71,693,105,495.58
  5. Step 5: Solve for x
    x = 71,693,105,495.58/340,166.40
  6. Step 6: Final answer
    x = 210,758.93

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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.