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Finding the Fourth Proportional to 611,432, 843,776.16 and 343,160

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Solution

The fourth proportional to 611,432, 843,776.16 and 343,160 is: 473,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,432 : 843,776.16 = 343,160 : x
  2. Step 2: Convert to fraction form
    611,432/843,776.16 = 343,160/x
  3. Step 3: Cross multiply
    611,432x = 843,776.16 × 343,160
  4. Step 4: Simplify right side
    611,432x = 289,550,227,065.60
  5. Step 5: Solve for x
    x = 289,550,227,065.60/611,432
  6. Step 6: Final answer
    x = 473,560.80

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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.