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Finding the Fourth Proportional to 567,174.40, 782,735.04 and 312,525.28

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Solution

The fourth proportional to 567,174.40, 782,735.04 and 312,525.28 is: 431,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,174.40 : 782,735.04 = 312,525.28 : x
  2. Step 2: Convert to fraction form
    567,174.40/782,735.04 = 312,525.28/x
  3. Step 3: Cross multiply
    567,174.40x = 782,735.04 × 312,525.28
  4. Step 4: Simplify right side
    567,174.40x = 244,624,487,541.81
  5. Step 5: Solve for x
    x = 244,624,487,541.81/567,174.40
  6. Step 6: Final answer
    x = 431,303.82

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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.