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Finding the Fourth Proportional to 553,203,373.20, 829,805,059.80 and 521,458,630.80

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Solution

The fourth proportional to 553,203,373.20, 829,805,059.80 and 521,458,630.80 is: 782,187,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,203,373.20 : 829,805,059.80 = 521,458,630.80 : x
  2. Step 2: Convert to fraction form
    553,203,373.20/829,805,059.80 = 521,458,630.80/x
  3. Step 3: Cross multiply
    553,203,373.20x = 829,805,059.80 × 521,458,630.80
  4. Step 4: Simplify right side
    553,203,373.20x = 432,709,010,314,220,096
  5. Step 5: Solve for x
    x = 432,709,010,314,220,096/553,203,373.20
  6. Step 6: Final answer
    x = 782,187,946.20

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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.