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Finding the Fourth Proportional to 501,825.96, 692,652.56 and 310,730.76

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Solution

The fourth proportional to 501,825.96, 692,652.56 and 310,730.76 is: 428,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,825.96 : 692,652.56 = 310,730.76 : x
  2. Step 2: Convert to fraction form
    501,825.96/692,652.56 = 310,730.76/x
  3. Step 3: Cross multiply
    501,825.96x = 692,652.56 × 310,730.76
  4. Step 4: Simplify right side
    501,825.96x = 215,228,456,384.75
  5. Step 5: Solve for x
    x = 215,228,456,384.75/501,825.96
  6. Step 6: Final answer
    x = 428,890.64

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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.