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Finding the Fourth Proportional to 340,051.60, 510,271.80 and 129,840.40

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Solution

The fourth proportional to 340,051.60, 510,271.80 and 129,840.40 is: 194,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,051.60 : 510,271.80 = 129,840.40 : x
  2. Step 2: Convert to fraction form
    340,051.60/510,271.80 = 129,840.40/x
  3. Step 3: Cross multiply
    340,051.60x = 510,271.80 × 129,840.40
  4. Step 4: Simplify right side
    340,051.60x = 66,253,894,620.72
  5. Step 5: Solve for x
    x = 66,253,894,620.72/340,051.60
  6. Step 6: Final answer
    x = 194,834.83

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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.