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Finding the Fourth Proportional to 342,857.18, 473,132.43 and 189,889.28

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Solution

The fourth proportional to 342,857.18, 473,132.43 and 189,889.28 is: 262,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,857.18 : 473,132.43 = 189,889.28 : x
  2. Step 2: Convert to fraction form
    342,857.18/473,132.43 = 189,889.28/x
  3. Step 3: Cross multiply
    342,857.18x = 473,132.43 × 189,889.28
  4. Step 4: Simplify right side
    342,857.18x = 89,842,774,111.69
  5. Step 5: Solve for x
    x = 89,842,774,111.69/342,857.18
  6. Step 6: Final answer
    x = 262,041.40

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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.