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Finding the Fourth Proportional to 767,668,737.60, 1,149,235,624.80 and 509,175,835.20

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Solution

The fourth proportional to 767,668,737.60, 1,149,235,624.80 and 509,175,835.20 is: 762,259,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,668,737.60 : 1,149,235,624.80 = 509,175,835.20 : x
  2. Step 2: Convert to fraction form
    767,668,737.60/1,149,235,624.80 = 509,175,835.20/x
  3. Step 3: Cross multiply
    767,668,737.60x = 1,149,235,624.80 × 509,175,835.20
  4. Step 4: Simplify right side
    767,668,737.60x = 585,163,009,099,133,824
  5. Step 5: Solve for x
    x = 585,163,009,099,133,824/767,668,737.60
  6. Step 6: Final answer
    x = 762,259,787.90

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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.