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Finding the Fourth Proportional to 285,798.72, 394,407.63 and 156,729.02

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Solution

The fourth proportional to 285,798.72, 394,407.63 and 156,729.02 is: 216,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,798.72 : 394,407.63 = 156,729.02 : x
  2. Step 2: Convert to fraction form
    285,798.72/394,407.63 = 156,729.02/x
  3. Step 3: Cross multiply
    285,798.72x = 394,407.63 × 156,729.02
  4. Step 4: Simplify right side
    285,798.72x = 61,815,119,358.38
  5. Step 5: Solve for x
    x = 61,815,119,358.38/285,798.72
  6. Step 6: Final answer
    x = 216,289.00

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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.