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Finding the Fourth Proportional to 611,437, 843,783.06 and 343,165

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Solution

The fourth proportional to 611,437, 843,783.06 and 343,165 is: 473,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,437 : 843,783.06 = 343,165 : x
  2. Step 2: Convert to fraction form
    611,437/843,783.06 = 343,165/x
  3. Step 3: Cross multiply
    611,437x = 843,783.06 × 343,165
  4. Step 4: Simplify right side
    611,437x = 289,556,813,784.90
  5. Step 5: Solve for x
    x = 289,556,813,784.90/611,437
  6. Step 6: Final answer
    x = 473,567.70

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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.