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Finding the Fourth Proportional to 382,030.98, 573,065.51 and 145,392

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Solution

The fourth proportional to 382,030.98, 573,065.51 and 145,392 is: 218,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,030.98 : 573,065.51 = 145,392 : x
  2. Step 2: Convert to fraction form
    382,030.98/573,065.51 = 145,392/x
  3. Step 3: Cross multiply
    382,030.98x = 573,065.51 × 145,392
  4. Step 4: Simplify right side
    382,030.98x = 83,319,140,629.92
  5. Step 5: Solve for x
    x = 83,319,140,629.92/382,030.98
  6. Step 6: Final answer
    x = 218,095.25

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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.