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Finding the Fourth Proportional to 702,077.60, 968,871.80 and 430,146

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Solution

The fourth proportional to 702,077.60, 968,871.80 and 430,146 is: 593,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,077.60 : 968,871.80 = 430,146 : x
  2. Step 2: Convert to fraction form
    702,077.60/968,871.80 = 430,146/x
  3. Step 3: Cross multiply
    702,077.60x = 968,871.80 × 430,146
  4. Step 4: Simplify right side
    702,077.60x = 416,756,329,282.80
  5. Step 5: Solve for x
    x = 416,756,329,282.80/702,077.60
  6. Step 6: Final answer
    x = 593,604.37

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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.