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Finding the Fourth Proportional to 514,261.44, 709,021.32 and 399,345.12

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Solution

The fourth proportional to 514,261.44, 709,021.32 and 399,345.12 is: 550,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,261.44 : 709,021.32 = 399,345.12 : x
  2. Step 2: Convert to fraction form
    514,261.44/709,021.32 = 399,345.12/x
  3. Step 3: Cross multiply
    514,261.44x = 709,021.32 × 399,345.12
  4. Step 4: Simplify right side
    514,261.44x = 283,144,204,117.96
  5. Step 5: Solve for x
    x = 283,144,204,117.96/514,261.44
  6. Step 6: Final answer
    x = 550,584.16

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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.