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Finding the Fourth Proportional to 354,603.30, 489,351.46 and 193,457.20

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Solution

The fourth proportional to 354,603.30, 489,351.46 and 193,457.20 is: 266,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,603.30 : 489,351.46 = 193,457.20 : x
  2. Step 2: Convert to fraction form
    354,603.30/489,351.46 = 193,457.20/x
  3. Step 3: Cross multiply
    354,603.30x = 489,351.46 × 193,457.20
  4. Step 4: Simplify right side
    354,603.30x = 94,668,563,267.51
  5. Step 5: Solve for x
    x = 94,668,563,267.51/354,603.30
  6. Step 6: Final answer
    x = 266,970.34

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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.