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Finding the Fourth Proportional to 702,967.57, 970,095.77 and 380,678.02

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Solution

The fourth proportional to 702,967.57, 970,095.77 and 380,678.02 is: 525,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,967.57 : 970,095.77 = 380,678.02 : x
  2. Step 2: Convert to fraction form
    702,967.57/970,095.77 = 380,678.02/x
  3. Step 3: Cross multiply
    702,967.57x = 970,095.77 × 380,678.02
  4. Step 4: Simplify right side
    702,967.57x = 369,294,136,933.98
  5. Step 5: Solve for x
    x = 369,294,136,933.98/702,967.57
  6. Step 6: Final answer
    x = 525,335.95

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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.