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Finding the Fourth Proportional to 513,853.56, 709,403.64 and 309,955.92

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Solution

The fourth proportional to 513,853.56, 709,403.64 and 309,955.92 is: 427,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,853.56 : 709,403.64 = 309,955.92 : x
  2. Step 2: Convert to fraction form
    513,853.56/709,403.64 = 309,955.92/x
  3. Step 3: Cross multiply
    513,853.56x = 709,403.64 × 309,955.92
  4. Step 4: Simplify right side
    513,853.56x = 219,883,857,887.55
  5. Step 5: Solve for x
    x = 219,883,857,887.55/513,853.56
  6. Step 6: Final answer
    x = 427,911.52

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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.