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Finding the Fourth Proportional to 514,401.75, 771,602.71 and 214,718.85

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Solution

The fourth proportional to 514,401.75, 771,602.71 and 214,718.85 is: 322,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,401.75 : 771,602.71 = 214,718.85 : x
  2. Step 2: Convert to fraction form
    514,401.75/771,602.71 = 214,718.85/x
  3. Step 3: Cross multiply
    514,401.75x = 771,602.71 × 214,718.85
  4. Step 4: Simplify right side
    514,401.75x = 165,677,646,548.08
  5. Step 5: Solve for x
    x = 165,677,646,548.08/514,401.75
  6. Step 6: Final answer
    x = 322,078.31

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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.