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Finding the Fourth Proportional to 516,266.76, 712,707.30 and 322,782.06

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Solution

The fourth proportional to 516,266.76, 712,707.30 and 322,782.06 is: 445,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,266.76 : 712,707.30 = 322,782.06 : x
  2. Step 2: Convert to fraction form
    516,266.76/712,707.30 = 322,782.06/x
  3. Step 3: Cross multiply
    516,266.76x = 712,707.30 × 322,782.06
  4. Step 4: Simplify right side
    516,266.76x = 230,049,130,471.04
  5. Step 5: Solve for x
    x = 230,049,130,471.04/516,266.76
  6. Step 6: Final answer
    x = 445,601.28

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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.