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Finding the Fourth Proportional to 342,421.84, 472,556.10 and 189,457.57

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Solution

The fourth proportional to 342,421.84, 472,556.10 and 189,457.57 is: 261,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,421.84 : 472,556.10 = 189,457.57 : x
  2. Step 2: Convert to fraction form
    342,421.84/472,556.10 = 189,457.57/x
  3. Step 3: Cross multiply
    342,421.84x = 472,556.10 × 189,457.57
  4. Step 4: Simplify right side
    342,421.84x = 89,529,330,394.68
  5. Step 5: Solve for x
    x = 89,529,330,394.68/342,421.84
  6. Step 6: Final answer
    x = 261,459.17

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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.