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Finding the Fourth Proportional to 500,643.12, 751,062.72 and 220,159.44

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Solution

The fourth proportional to 500,643.12, 751,062.72 and 220,159.44 is: 330,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,643.12 : 751,062.72 = 220,159.44 : x
  2. Step 2: Convert to fraction form
    500,643.12/751,062.72 = 220,159.44/x
  3. Step 3: Cross multiply
    500,643.12x = 751,062.72 × 220,159.44
  4. Step 4: Simplify right side
    500,643.12x = 165,353,547,840.08
  5. Step 5: Solve for x
    x = 165,353,547,840.08/500,643.12
  6. Step 6: Final answer
    x = 330,282.27

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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.