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Finding the Fourth Proportional to 357,730, 493,669.32 and 198,754

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Solution

The fourth proportional to 357,730, 493,669.32 and 198,754 is: 274,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,730 : 493,669.32 = 198,754 : x
  2. Step 2: Convert to fraction form
    357,730/493,669.32 = 198,754/x
  3. Step 3: Cross multiply
    357,730x = 493,669.32 × 198,754
  4. Step 4: Simplify right side
    357,730x = 98,118,752,027.28
  5. Step 5: Solve for x
    x = 98,118,752,027.28/357,730
  6. Step 6: Final answer
    x = 274,281.59

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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.