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Finding the Fourth Proportional to 285,782.15, 428,585.67 and 197,602.31

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Solution

The fourth proportional to 285,782.15, 428,585.67 and 197,602.31 is: 296,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,782.15 : 428,585.67 = 197,602.31 : x
  2. Step 2: Convert to fraction form
    285,782.15/428,585.67 = 197,602.31/x
  3. Step 3: Cross multiply
    285,782.15x = 428,585.67 × 197,602.31
  4. Step 4: Simplify right side
    285,782.15x = 84,689,516,281.97
  5. Step 5: Solve for x
    x = 84,689,516,281.97/285,782.15
  6. Step 6: Final answer
    x = 296,342.92

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1.5x scale

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.