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Finding the Fourth Proportional to 702,980.96, 970,114.66 and 380,691.58

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Solution

The fourth proportional to 702,980.96, 970,114.66 and 380,691.58 is: 525,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,980.96 : 970,114.66 = 380,691.58 : x
  2. Step 2: Convert to fraction form
    702,980.96/970,114.66 = 380,691.58/x
  3. Step 3: Cross multiply
    702,980.96x = 970,114.66 × 380,691.58
  4. Step 4: Simplify right side
    702,980.96x = 369,314,482,696.56
  5. Step 5: Solve for x
    x = 369,314,482,696.56/702,980.96
  6. Step 6: Final answer
    x = 525,354.89

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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.