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Finding the Fourth Proportional to 713,842.86, 985,185.46 and 427,362.78

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Solution

The fourth proportional to 713,842.86, 985,185.46 and 427,362.78 is: 589,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,842.86 : 985,185.46 = 427,362.78 : x
  2. Step 2: Convert to fraction form
    713,842.86/985,185.46 = 427,362.78/x
  3. Step 3: Cross multiply
    713,842.86x = 985,185.46 × 427,362.78
  4. Step 4: Simplify right side
    713,842.86x = 421,031,597,001.18
  5. Step 5: Solve for x
    x = 421,031,597,001.18/713,842.86
  6. Step 6: Final answer
    x = 589,809.92

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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.