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Finding the Fourth Proportional to 431,464.96, 595,143.72 and 286,267.60

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Solution

The fourth proportional to 431,464.96, 595,143.72 and 286,267.60 is: 394,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,464.96 : 595,143.72 = 286,267.60 : x
  2. Step 2: Convert to fraction form
    431,464.96/595,143.72 = 286,267.60/x
  3. Step 3: Cross multiply
    431,464.96x = 595,143.72 × 286,267.60
  4. Step 4: Simplify right side
    431,464.96x = 170,370,364,379.47
  5. Step 5: Solve for x
    x = 170,370,364,379.47/431,464.96
  6. Step 6: Final answer
    x = 394,864.89

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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.