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Finding the Fourth Proportional to 285,135.66, 393,574.88 and 164,357.71

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Solution

The fourth proportional to 285,135.66, 393,574.88 and 164,357.71 is: 226,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,135.66 : 393,574.88 = 164,357.71 : x
  2. Step 2: Convert to fraction form
    285,135.66/393,574.88 = 164,357.71/x
  3. Step 3: Cross multiply
    285,135.66x = 393,574.88 × 164,357.71
  4. Step 4: Simplify right side
    285,135.66x = 64,687,065,417.28
  5. Step 5: Solve for x
    x = 64,687,065,417.28/285,135.66
  6. Step 6: Final answer
    x = 226,864.17

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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.