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Finding the Fourth Proportional to 285,374.88, 393,813.36 and 164,516.40

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Solution

The fourth proportional to 285,374.88, 393,813.36 and 164,516.40 is: 227,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,374.88 : 393,813.36 = 164,516.40 : x
  2. Step 2: Convert to fraction form
    285,374.88/393,813.36 = 164,516.40/x
  3. Step 3: Cross multiply
    285,374.88x = 393,813.36 × 164,516.40
  4. Step 4: Simplify right side
    285,374.88x = 64,788,756,259.10
  5. Step 5: Solve for x
    x = 64,788,756,259.10/285,374.88
  6. Step 6: Final answer
    x = 227,030.34

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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.