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Finding the Fourth Proportional to 258,994.17, 357,428.39 and 157,029.40

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Solution

The fourth proportional to 258,994.17, 357,428.39 and 157,029.40 is: 216,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,994.17 : 357,428.39 = 157,029.40 : x
  2. Step 2: Convert to fraction form
    258,994.17/357,428.39 = 157,029.40/x
  3. Step 3: Cross multiply
    258,994.17x = 357,428.39 × 157,029.40
  4. Step 4: Simplify right side
    258,994.17x = 56,126,764,981.59
  5. Step 5: Solve for x
    x = 56,126,764,981.59/258,994.17
  6. Step 6: Final answer
    x = 216,710.53

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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.