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Finding the Fourth Proportional to 456,521.81, 684,221.85 and 256,421.57

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Solution

The fourth proportional to 456,521.81, 684,221.85 and 256,421.57 is: 384,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,521.81 : 684,221.85 = 256,421.57 : x
  2. Step 2: Convert to fraction form
    456,521.81/684,221.85 = 256,421.57/x
  3. Step 3: Cross multiply
    456,521.81x = 684,221.85 × 256,421.57
  4. Step 4: Simplify right side
    456,521.81x = 175,449,237,584.20
  5. Step 5: Solve for x
    x = 175,449,237,584.20/456,521.81
  6. Step 6: Final answer
    x = 384,317.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.