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Finding the Fourth Proportional to 257,799, 386,682.96 and 153,283.08

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Solution

The fourth proportional to 257,799, 386,682.96 and 153,283.08 is: 229,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,799 : 386,682.96 = 153,283.08 : x
  2. Step 2: Convert to fraction form
    257,799/386,682.96 = 153,283.08/x
  3. Step 3: Cross multiply
    257,799x = 386,682.96 × 153,283.08
  4. Step 4: Simplify right side
    257,799x = 59,271,955,092.32
  5. Step 5: Solve for x
    x = 59,271,955,092.32/257,799
  6. Step 6: Final answer
    x = 229,915.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.