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Finding the Fourth Proportional to 517,322.13, 713,966.70 and 313,367.07

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Solution

The fourth proportional to 517,322.13, 713,966.70 and 313,367.07 is: 432,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,322.13 : 713,966.70 = 313,367.07 : x
  2. Step 2: Convert to fraction form
    517,322.13/713,966.70 = 313,367.07/x
  3. Step 3: Cross multiply
    517,322.13x = 713,966.70 × 313,367.07
  4. Step 4: Simplify right side
    517,322.13x = 223,733,652,856.57
  5. Step 5: Solve for x
    x = 223,733,652,856.57/517,322.13
  6. Step 6: Final answer
    x = 432,484.21

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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.