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Finding the Fourth Proportional to 501,829.56, 692,527.32 and 286,978.68

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Solution

The fourth proportional to 501,829.56, 692,527.32 and 286,978.68 is: 396,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,829.56 : 692,527.32 = 286,978.68 : x
  2. Step 2: Convert to fraction form
    501,829.56/692,527.32 = 286,978.68/x
  3. Step 3: Cross multiply
    501,829.56x = 692,527.32 × 286,978.68
  4. Step 4: Simplify right side
    501,829.56x = 198,740,576,157.54
  5. Step 5: Solve for x
    x = 198,740,576,157.54/501,829.56
  6. Step 6: Final answer
    x = 396,032.02

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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.