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Finding the Fourth Proportional to 478,014.78, 659,576.50 and 287,032.27

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Solution

The fourth proportional to 478,014.78, 659,576.50 and 287,032.27 is: 396,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,014.78 : 659,576.50 = 287,032.27 : x
  2. Step 2: Convert to fraction form
    478,014.78/659,576.50 = 287,032.27/x
  3. Step 3: Cross multiply
    478,014.78x = 659,576.50 × 287,032.27
  4. Step 4: Simplify right side
    478,014.78x = 189,319,740,033.66
  5. Step 5: Solve for x
    x = 189,319,740,033.66/478,014.78
  6. Step 6: Final answer
    x = 396,054.16

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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.