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Finding the Fourth Proportional to 301,035.28, 415,423.87 and 165,070.40

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Solution

The fourth proportional to 301,035.28, 415,423.87 and 165,070.40 is: 227,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,035.28 : 415,423.87 = 165,070.40 : x
  2. Step 2: Convert to fraction form
    301,035.28/415,423.87 = 165,070.40/x
  3. Step 3: Cross multiply
    301,035.28x = 415,423.87 × 165,070.40
  4. Step 4: Simplify right side
    301,035.28x = 68,574,184,390.45
  5. Step 5: Solve for x
    x = 68,574,184,390.45/301,035.28
  6. Step 6: Final answer
    x = 227,794.51

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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.