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Finding the Fourth Proportional to 489,640,244.80, 734,288,906.40 and 144,502,484.80

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Solution

The fourth proportional to 489,640,244.80, 734,288,906.40 and 144,502,484.80 is: 216,703,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,640,244.80 : 734,288,906.40 = 144,502,484.80 : x
  2. Step 2: Convert to fraction form
    489,640,244.80/734,288,906.40 = 144,502,484.80/x
  3. Step 3: Cross multiply
    489,640,244.80x = 734,288,906.40 × 144,502,484.80
  4. Step 4: Simplify right side
    489,640,244.80x = 106,106,571,535,874,624
  5. Step 5: Solve for x
    x = 106,106,571,535,874,624/489,640,244.80
  6. Step 6: Final answer
    x = 216,703,125.74

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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.