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Finding the Fourth Proportional to 601,486.63, 830,019.78 and 343,353.31

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Solution

The fourth proportional to 601,486.63, 830,019.78 and 343,353.31 is: 473,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,486.63 : 830,019.78 = 343,353.31 : x
  2. Step 2: Convert to fraction form
    601,486.63/830,019.78 = 343,353.31/x
  3. Step 3: Cross multiply
    601,486.63x = 830,019.78 × 343,353.31
  4. Step 4: Simplify right side
    601,486.63x = 284,990,036,753.42
  5. Step 5: Solve for x
    x = 284,990,036,753.42/601,486.63
  6. Step 6: Final answer
    x = 473,809.43

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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.