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Finding the Fourth Proportional to 517,004.32, 713,174.76 and 310,219.22

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Solution

The fourth proportional to 517,004.32, 713,174.76 and 310,219.22 is: 427,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,004.32 : 713,174.76 = 310,219.22 : x
  2. Step 2: Convert to fraction form
    517,004.32/713,174.76 = 310,219.22/x
  3. Step 3: Cross multiply
    517,004.32x = 713,174.76 × 310,219.22
  4. Step 4: Simplify right side
    517,004.32x = 221,240,517,770.89
  5. Step 5: Solve for x
    x = 221,240,517,770.89/517,004.32
  6. Step 6: Final answer
    x = 427,927.79

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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.