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Finding the Fourth Proportional to 14,208,309.20, 21,294,967.80 and 9,659,349.20

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Solution

The fourth proportional to 14,208,309.20, 21,294,967.80 and 9,659,349.20 is: 14,477,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208,309.20 : 21,294,967.80 = 9,659,349.20 : x
  2. Step 2: Convert to fraction form
    14,208,309.20/21,294,967.80 = 9,659,349.20/x
  3. Step 3: Cross multiply
    14,208,309.20x = 21,294,967.80 × 9,659,349.20
  4. Step 4: Simplify right side
    14,208,309.20x = 205,695,530,182,955.75
  5. Step 5: Solve for x
    x = 205,695,530,182,955.75/14,208,309.20
  6. Step 6: Final answer
    x = 14,477,129.35

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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.