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Finding the Fourth Proportional to 407,408.10, 611,112.15 and 302,432.10

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Solution

The fourth proportional to 407,408.10, 611,112.15 and 302,432.10 is: 453,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,408.10 : 611,112.15 = 302,432.10 : x
  2. Step 2: Convert to fraction form
    407,408.10/611,112.15 = 302,432.10/x
  3. Step 3: Cross multiply
    407,408.10x = 611,112.15 × 302,432.10
  4. Step 4: Simplify right side
    407,408.10x = 184,819,930,860.02
  5. Step 5: Solve for x
    x = 184,819,930,860.02/407,408.10
  6. Step 6: Final answer
    x = 453,648.15

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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.