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Finding the Fourth Proportional to 702,977.66, 970,109.20 and 380,687.76

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Solution

The fourth proportional to 702,977.66, 970,109.20 and 380,687.76 is: 525,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,977.66 : 970,109.20 = 380,687.76 : x
  2. Step 2: Convert to fraction form
    702,977.66/970,109.20 = 380,687.76/x
  3. Step 3: Cross multiply
    702,977.66x = 970,109.20 × 380,687.76
  4. Step 4: Simplify right side
    702,977.66x = 369,308,698,010.81
  5. Step 5: Solve for x
    x = 369,308,698,010.81/702,977.66
  6. Step 6: Final answer
    x = 525,349.12

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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.