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Finding the Fourth Proportional to 522,793,820.40, 784,358,692.20 and 350,465,218.80

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Solution

The fourth proportional to 522,793,820.40, 784,358,692.20 and 350,465,218.80 is: 525,810,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,793,820.40 : 784,358,692.20 = 350,465,218.80 : x
  2. Step 2: Convert to fraction form
    522,793,820.40/784,358,692.20 = 350,465,218.80/x
  3. Step 3: Cross multiply
    522,793,820.40x = 784,358,692.20 × 350,465,218.80
  4. Step 4: Simplify right side
    522,793,820.40x = 274,890,440,679,554,880
  5. Step 5: Solve for x
    x = 274,890,440,679,554,880/522,793,820.40
  6. Step 6: Final answer
    x = 525,810,424.59

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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.