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Finding the Fourth Proportional to 285,272.63, 393,688.52 and 157,948.22

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Solution

The fourth proportional to 285,272.63, 393,688.52 and 157,948.22 is: 217,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,272.63 : 393,688.52 = 157,948.22 : x
  2. Step 2: Convert to fraction form
    285,272.63/393,688.52 = 157,948.22/x
  3. Step 3: Cross multiply
    285,272.63x = 393,688.52 × 157,948.22
  4. Step 4: Simplify right side
    285,272.63x = 62,182,402,347.53
  5. Step 5: Solve for x
    x = 62,182,402,347.53/285,272.63
  6. Step 6: Final answer
    x = 217,975.36

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1.5x scale

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.