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Finding the Fourth Proportional to 507,749.56, 700,694.40 and 281,409.64

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Solution

The fourth proportional to 507,749.56, 700,694.40 and 281,409.64 is: 388,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,749.56 : 700,694.40 = 281,409.64 : x
  2. Step 2: Convert to fraction form
    507,749.56/700,694.40 = 281,409.64/x
  3. Step 3: Cross multiply
    507,749.56x = 700,694.40 × 281,409.64
  4. Step 4: Simplify right side
    507,749.56x = 197,182,158,854.02
  5. Step 5: Solve for x
    x = 197,182,158,854.02/507,749.56
  6. Step 6: Final answer
    x = 388,345.31

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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.