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Finding the Fourth Proportional to 702,963.95, 970,090.77 and 380,674.40

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Solution

The fourth proportional to 702,963.95, 970,090.77 and 380,674.40 is: 525,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,963.95 : 970,090.77 = 380,674.40 : x
  2. Step 2: Convert to fraction form
    702,963.95/970,090.77 = 380,674.40/x
  3. Step 3: Cross multiply
    702,963.95x = 970,090.77 × 380,674.40
  4. Step 4: Simplify right side
    702,963.95x = 369,288,721,815.29
  5. Step 5: Solve for x
    x = 369,288,721,815.29/702,963.95
  6. Step 6: Final answer
    x = 525,330.95

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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.