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Finding the Fourth Proportional to 431,165.73, 595,255.34 and 286,168.15

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Solution

The fourth proportional to 431,165.73, 595,255.34 and 286,168.15 is: 395,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,165.73 : 595,255.34 = 286,168.15 : x
  2. Step 2: Convert to fraction form
    431,165.73/595,255.34 = 286,168.15/x
  3. Step 3: Cross multiply
    431,165.73x = 595,255.34 × 286,168.15
  4. Step 4: Simplify right side
    431,165.73x = 170,343,118,652.70
  5. Step 5: Solve for x
    x = 170,343,118,652.70/431,165.73
  6. Step 6: Final answer
    x = 395,075.74

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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.