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Finding the Fourth Proportional to 285,159.01, 393,607.02 and 164,381.02

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Solution

The fourth proportional to 285,159.01, 393,607.02 and 164,381.02 is: 226,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,159.01 : 393,607.02 = 164,381.02 : x
  2. Step 2: Convert to fraction form
    285,159.01/393,607.02 = 164,381.02/x
  3. Step 3: Cross multiply
    285,159.01x = 393,607.02 × 164,381.02
  4. Step 4: Simplify right side
    285,159.01x = 64,701,523,426.76
  5. Step 5: Solve for x
    x = 64,701,523,426.76/285,159.01
  6. Step 6: Final answer
    x = 226,896.30

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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.