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Finding the Fourth Proportional to 610,427.84, 842,344.64 and 342,104

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Solution

The fourth proportional to 610,427.84, 842,344.64 and 342,104 is: 472,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,427.84 : 842,344.64 = 342,104 : x
  2. Step 2: Convert to fraction form
    610,427.84/842,344.64 = 342,104/x
  3. Step 3: Cross multiply
    610,427.84x = 842,344.64 × 342,104
  4. Step 4: Simplify right side
    610,427.84x = 288,169,470,722.56
  5. Step 5: Solve for x
    x = 288,169,470,722.56/610,427.84
  6. Step 6: Final answer
    x = 472,077.86

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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.