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Finding the Fourth Proportional to 342,638.64, 472,835.70 and 189,673.63

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Solution

The fourth proportional to 342,638.64, 472,835.70 and 189,673.63 is: 261,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,638.64 : 472,835.70 = 189,673.63 : x
  2. Step 2: Convert to fraction form
    342,638.64/472,835.70 = 189,673.63/x
  3. Step 3: Cross multiply
    342,638.64x = 472,835.70 × 189,673.63
  4. Step 4: Simplify right side
    342,638.64x = 89,684,462,430.50
  5. Step 5: Solve for x
    x = 89,684,462,430.50/342,638.64
  6. Step 6: Final answer
    x = 261,746.49

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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.