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Finding the Fourth Proportional to 285,384.88, 393,827.16 and 164,526.40

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Solution

The fourth proportional to 285,384.88, 393,827.16 and 164,526.40 is: 227,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,384.88 : 393,827.16 = 164,526.40 : x
  2. Step 2: Convert to fraction form
    285,384.88/393,827.16 = 164,526.40/x
  3. Step 3: Cross multiply
    285,384.88x = 393,827.16 × 164,526.40
  4. Step 4: Simplify right side
    285,384.88x = 64,794,964,857.02
  5. Step 5: Solve for x
    x = 64,794,964,857.02/285,384.88
  6. Step 6: Final answer
    x = 227,044.14

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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.