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Finding the Fourth Proportional to 702,967.70, 970,095.94 and 380,678.14

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Solution

The fourth proportional to 702,967.70, 970,095.94 and 380,678.14 is: 525,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,967.70 : 970,095.94 = 380,678.14 : x
  2. Step 2: Convert to fraction form
    702,967.70/970,095.94 = 380,678.14/x
  3. Step 3: Cross multiply
    702,967.70x = 970,095.94 × 380,678.14
  4. Step 4: Simplify right side
    702,967.70x = 369,294,318,060.75
  5. Step 5: Solve for x
    x = 369,294,318,060.75/702,967.70
  6. Step 6: Final answer
    x = 525,336.11

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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.