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Finding the Fourth Proportional to 611,471.84, 843,784.88 and 343,148

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Solution

The fourth proportional to 611,471.84, 843,784.88 and 343,148 is: 473,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,471.84 : 843,784.88 = 343,148 : x
  2. Step 2: Convert to fraction form
    611,471.84/843,784.88 = 343,148/x
  3. Step 3: Cross multiply
    611,471.84x = 843,784.88 × 343,148
  4. Step 4: Simplify right side
    611,471.84x = 289,543,094,002.24
  5. Step 5: Solve for x
    x = 289,543,094,002.24/611,471.84
  6. Step 6: Final answer
    x = 473,518.28

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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.