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Finding the Fourth Proportional to 489,111.40, 675,113.70 and 288,024.04

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Solution

The fourth proportional to 489,111.40, 675,113.70 and 288,024.04 is: 397,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,111.40 : 675,113.70 = 288,024.04 : x
  2. Step 2: Convert to fraction form
    489,111.40/675,113.70 = 288,024.04/x
  3. Step 3: Cross multiply
    489,111.40x = 675,113.70 × 288,024.04
  4. Step 4: Simplify right side
    489,111.40x = 194,448,975,333.35
  5. Step 5: Solve for x
    x = 194,448,975,333.35/489,111.40
  6. Step 6: Final answer
    x = 397,555.60

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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.