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Finding the Fourth Proportional to 514,713.11, 710,133.84 and 310,686.51

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Solution

The fourth proportional to 514,713.11, 710,133.84 and 310,686.51 is: 428,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,713.11 : 710,133.84 = 310,686.51 : x
  2. Step 2: Convert to fraction form
    514,713.11/710,133.84 = 310,686.51/x
  3. Step 3: Cross multiply
    514,713.11x = 710,133.84 × 310,686.51
  4. Step 4: Simplify right side
    514,713.11x = 220,629,004,382.50
  5. Step 5: Solve for x
    x = 220,629,004,382.50/514,713.11
  6. Step 6: Final answer
    x = 428,644.62

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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.