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Finding the Fourth Proportional to 285,284.40, 393,595.56 and 164,421.84

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Solution

The fourth proportional to 285,284.40, 393,595.56 and 164,421.84 is: 226,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,284.40 : 393,595.56 = 164,421.84 : x
  2. Step 2: Convert to fraction form
    285,284.40/393,595.56 = 164,421.84/x
  3. Step 3: Cross multiply
    285,284.40x = 393,595.56 × 164,421.84
  4. Step 4: Simplify right side
    285,284.40x = 64,715,706,191.03
  5. Step 5: Solve for x
    x = 64,715,706,191.03/285,284.40
  6. Step 6: Final answer
    x = 226,846.28

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1.5x scale

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.