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Finding the Fourth Proportional to 285,294.89, 393,719.27 and 157,970.52

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Solution

The fourth proportional to 285,294.89, 393,719.27 and 157,970.52 is: 218,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,294.89 : 393,719.27 = 157,970.52 : x
  2. Step 2: Convert to fraction form
    285,294.89/393,719.27 = 157,970.52/x
  3. Step 3: Cross multiply
    285,294.89x = 393,719.27 × 157,970.52
  4. Step 4: Simplify right side
    285,294.89x = 62,196,037,026.07
  5. Step 5: Solve for x
    x = 62,196,037,026.07/285,294.89
  6. Step 6: Final answer
    x = 218,006.14

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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.