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Finding the Fourth Proportional to 421,465, 632,066.28 and 140,916.64

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Solution

The fourth proportional to 421,465, 632,066.28 and 140,916.64 is: 211,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,465 : 632,066.28 = 140,916.64 : x
  2. Step 2: Convert to fraction form
    421,465/632,066.28 = 140,916.64/x
  3. Step 3: Cross multiply
    421,465x = 632,066.28 × 140,916.64
  4. Step 4: Simplify right side
    421,465x = 89,068,656,434.90
  5. Step 5: Solve for x
    x = 89,068,656,434.90/421,465
  6. Step 6: Final answer
    x = 211,331.09

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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.