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Finding the Fourth Proportional to 702,970.50, 970,117.32 and 431,188.56

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Solution

The fourth proportional to 702,970.50, 970,117.32 and 431,188.56 is: 595,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,970.50 : 970,117.32 = 431,188.56 : x
  2. Step 2: Convert to fraction form
    702,970.50/970,117.32 = 431,188.56/x
  3. Step 3: Cross multiply
    702,970.50x = 970,117.32 × 431,188.56
  4. Step 4: Simplify right side
    702,970.50x = 418,303,490,241.86
  5. Step 5: Solve for x
    x = 418,303,490,241.86/702,970.50
  6. Step 6: Final answer
    x = 595,051.27

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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.