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Finding the Fourth Proportional to 702,989.79, 970,123.98 and 380,699.80

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Solution

The fourth proportional to 702,989.79, 970,123.98 and 380,699.80 is: 525,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,989.79 : 970,123.98 = 380,699.80 : x
  2. Step 2: Convert to fraction form
    702,989.79/970,123.98 = 380,699.80/x
  3. Step 3: Cross multiply
    702,989.79x = 970,123.98 × 380,699.80
  4. Step 4: Simplify right side
    702,989.79x = 369,326,005,161.20
  5. Step 5: Solve for x
    x = 369,326,005,161.20/702,989.79
  6. Step 6: Final answer
    x = 525,364.68

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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.