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Finding the Fourth Proportional to 346,117, 519,231.66 and 135,640.84

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Solution

The fourth proportional to 346,117, 519,231.66 and 135,640.84 is: 203,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,117 : 519,231.66 = 135,640.84 : x
  2. Step 2: Convert to fraction form
    346,117/519,231.66 = 135,640.84/x
  3. Step 3: Cross multiply
    346,117x = 519,231.66 × 135,640.84
  4. Step 4: Simplify right side
    346,117x = 70,429,018,516.99
  5. Step 5: Solve for x
    x = 70,429,018,516.99/346,117
  6. Step 6: Final answer
    x = 203,483.27

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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.