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Finding the Fourth Proportional to 558,000.12, 770,046.64 and 309,647.16

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Solution

The fourth proportional to 558,000.12, 770,046.64 and 309,647.16 is: 427,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,000.12 : 770,046.64 = 309,647.16 : x
  2. Step 2: Convert to fraction form
    558,000.12/770,046.64 = 309,647.16/x
  3. Step 3: Cross multiply
    558,000.12x = 770,046.64 × 309,647.16
  4. Step 4: Simplify right side
    558,000.12x = 238,442,755,143.54
  5. Step 5: Solve for x
    x = 238,442,755,143.54/558,000.12
  6. Step 6: Final answer
    x = 427,316.67

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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.