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Finding the Fourth Proportional to 285,345.81, 393,680.52 and 164,483.28

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Solution

The fourth proportional to 285,345.81, 393,680.52 and 164,483.28 is: 226,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,345.81 : 393,680.52 = 164,483.28 : x
  2. Step 2: Convert to fraction form
    285,345.81/393,680.52 = 164,483.28/x
  3. Step 3: Cross multiply
    285,345.81x = 393,680.52 × 164,483.28
  4. Step 4: Simplify right side
    285,345.81x = 64,753,863,201.71
  5. Step 5: Solve for x
    x = 64,753,863,201.71/285,345.81
  6. Step 6: Final answer
    x = 226,931.19

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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.