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Finding the Fourth Proportional to 380,980.47, 525,732.83 and 217,604.89

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Solution

The fourth proportional to 380,980.47, 525,732.83 and 217,604.89 is: 300,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,980.47 : 525,732.83 = 217,604.89 : x
  2. Step 2: Convert to fraction form
    380,980.47/525,732.83 = 217,604.89/x
  3. Step 3: Cross multiply
    380,980.47x = 525,732.83 × 217,604.89
  4. Step 4: Simplify right side
    380,980.47x = 114,402,034,641.54
  5. Step 5: Solve for x
    x = 114,402,034,641.54/380,980.47
  6. Step 6: Final answer
    x = 300,283.20

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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.