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Finding the Fourth Proportional to 702,930.81, 970,049.13 and 380,640.93

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Solution

The fourth proportional to 702,930.81, 970,049.13 and 380,640.93 is: 525,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,930.81 : 970,049.13 = 380,640.93 : x
  2. Step 2: Convert to fraction form
    702,930.81/970,049.13 = 380,640.93/x
  3. Step 3: Cross multiply
    702,930.81x = 970,049.13 × 380,640.93
  4. Step 4: Simplify right side
    702,930.81x = 369,240,402,988.89
  5. Step 5: Solve for x
    x = 369,240,402,988.89/702,930.81
  6. Step 6: Final answer
    x = 525,286.98

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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.