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Finding the Fourth Proportional to 345,071.34, 517,609.44 and 120,430.80

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Solution

The fourth proportional to 345,071.34, 517,609.44 and 120,430.80 is: 180,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,071.34 : 517,609.44 = 120,430.80 : x
  2. Step 2: Convert to fraction form
    345,071.34/517,609.44 = 120,430.80/x
  3. Step 3: Cross multiply
    345,071.34x = 517,609.44 × 120,430.80
  4. Step 4: Simplify right side
    345,071.34x = 62,336,118,946.75
  5. Step 5: Solve for x
    x = 62,336,118,946.75/345,071.34
  6. Step 6: Final answer
    x = 180,647.05

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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.