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Finding the Fourth Proportional to 1,211,784,814.80, 1,817,005,375.80 and 521,574,613.20

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Solution

The fourth proportional to 1,211,784,814.80, 1,817,005,375.80 and 521,574,613.20 is: 782,072,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,784,814.80 : 1,817,005,375.80 = 521,574,613.20 : x
  2. Step 2: Convert to fraction form
    1,211,784,814.80/1,817,005,375.80 = 521,574,613.20/x
  3. Step 3: Cross multiply
    1,211,784,814.80x = 1,817,005,375.80 × 521,574,613.20
  4. Step 4: Simplify right side
    1,211,784,814.80x = 947,703,876,065,205,632
  5. Step 5: Solve for x
    x = 947,703,876,065,205,632/1,211,784,814.80
  6. Step 6: Final answer
    x = 782,072,744.67

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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.