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Finding the Fourth Proportional to 540,693.83, 746,149.73 and 298,971.10

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Solution

The fourth proportional to 540,693.83, 746,149.73 and 298,971.10 is: 412,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,693.83 : 746,149.73 = 298,971.10 : x
  2. Step 2: Convert to fraction form
    540,693.83/746,149.73 = 298,971.10/x
  3. Step 3: Cross multiply
    540,693.83x = 746,149.73 × 298,971.10
  4. Step 4: Simplify right side
    540,693.83x = 223,077,204,980.64
  5. Step 5: Solve for x
    x = 223,077,204,980.64/540,693.83
  6. Step 6: Final answer
    x = 412,575.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.