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Finding the Fourth Proportional to 398,319, 549,685.70 and 228,553.13

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Solution

The fourth proportional to 398,319, 549,685.70 and 228,553.13 is: 315,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,319 : 549,685.70 = 228,553.13 : x
  2. Step 2: Convert to fraction form
    398,319/549,685.70 = 228,553.13/x
  3. Step 3: Cross multiply
    398,319x = 549,685.70 × 228,553.13
  4. Step 4: Simplify right side
    398,319x = 125,632,383,360.05
  5. Step 5: Solve for x
    x = 125,632,383,360.05/398,319
  6. Step 6: Final answer
    x = 315,406.45

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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.