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Finding the Fourth Proportional to 932,685,855.81, 1,399,512,973.23 and 380,393,472.93

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Solution

The fourth proportional to 932,685,855.81, 1,399,512,973.23 and 380,393,472.93 is: 570,787,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,685,855.81 : 1,399,512,973.23 = 380,393,472.93 : x
  2. Step 2: Convert to fraction form
    932,685,855.81/1,399,512,973.23 = 380,393,472.93/x
  3. Step 3: Cross multiply
    932,685,855.81x = 1,399,512,973.23 × 380,393,472.93
  4. Step 4: Simplify right side
    932,685,855.81x = 532,365,600,297,549,824
  5. Step 5: Solve for x
    x = 532,365,600,297,549,824/932,685,855.81
  6. Step 6: Final answer
    x = 570,787,684.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.