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Finding the Fourth Proportional to 558,466.50, 770,725.90 and 340,655.66

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Solution

The fourth proportional to 558,466.50, 770,725.90 and 340,655.66 is: 470,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,466.50 : 770,725.90 = 340,655.66 : x
  2. Step 2: Convert to fraction form
    558,466.50/770,725.90 = 340,655.66/x
  3. Step 3: Cross multiply
    558,466.50x = 770,725.90 × 340,655.66
  4. Step 4: Simplify right side
    558,466.50x = 262,552,140,143.59
  5. Step 5: Solve for x
    x = 262,552,140,143.59/558,466.50
  6. Step 6: Final answer
    x = 470,130.51

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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.