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Finding the Fourth Proportional to 601,644.78, 830,164.58 and 343,403.82

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Solution

The fourth proportional to 601,644.78, 830,164.58 and 343,403.82 is: 473,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,644.78 : 830,164.58 = 343,403.82 : x
  2. Step 2: Convert to fraction form
    601,644.78/830,164.58 = 343,403.82/x
  3. Step 3: Cross multiply
    601,644.78x = 830,164.58 × 343,403.82
  4. Step 4: Simplify right side
    601,644.78x = 285,081,688,000.70
  5. Step 5: Solve for x
    x = 285,081,688,000.70/601,644.78
  6. Step 6: Final answer
    x = 473,837.22

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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.