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Finding the Fourth Proportional to 477,478.65, 658,699.65 and 286,159.89

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Solution

The fourth proportional to 477,478.65, 658,699.65 and 286,159.89 is: 394,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,478.65 : 658,699.65 = 286,159.89 : x
  2. Step 2: Convert to fraction form
    477,478.65/658,699.65 = 286,159.89/x
  3. Step 3: Cross multiply
    477,478.65x = 658,699.65 × 286,159.89
  4. Step 4: Simplify right side
    477,478.65x = 188,493,419,387.04
  5. Step 5: Solve for x
    x = 188,493,419,387.04/477,478.65
  6. Step 6: Final answer
    x = 394,768.27

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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.