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Finding the Fourth Proportional to 447,376.51, 617,405.12 and 256,421.71

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Solution

The fourth proportional to 447,376.51, 617,405.12 and 256,421.71 is: 353,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,376.51 : 617,405.12 = 256,421.71 : x
  2. Step 2: Convert to fraction form
    447,376.51/617,405.12 = 256,421.71/x
  3. Step 3: Cross multiply
    447,376.51x = 617,405.12 × 256,421.71
  4. Step 4: Simplify right side
    447,376.51x = 158,316,074,187.18
  5. Step 5: Solve for x
    x = 158,316,074,187.18/447,376.51
  6. Step 6: Final answer
    x = 353,876.59

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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.