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Finding the Fourth Proportional to 713,353.42, 1,070,380.37 and 286,872

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Solution

The fourth proportional to 713,353.42, 1,070,380.37 and 286,872 is: 430,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,353.42 : 1,070,380.37 = 286,872 : x
  2. Step 2: Convert to fraction form
    713,353.42/1,070,380.37 = 286,872/x
  3. Step 3: Cross multiply
    713,353.42x = 1,070,380.37 × 286,872
  4. Step 4: Simplify right side
    713,353.42x = 307,062,157,502.64
  5. Step 5: Solve for x
    x = 307,062,157,502.64/713,353.42
  6. Step 6: Final answer
    x = 430,448.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.