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Finding the Fourth Proportional to 522,676,862.78, 784,011,806.51 and 211,779,891.97

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Solution

The fourth proportional to 522,676,862.78, 784,011,806.51 and 211,779,891.97 is: 317,668,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,676,862.78 : 784,011,806.51 = 211,779,891.97 : x
  2. Step 2: Convert to fraction form
    522,676,862.78/784,011,806.51 = 211,779,891.97/x
  3. Step 3: Cross multiply
    522,676,862.78x = 784,011,806.51 × 211,779,891.97
  4. Step 4: Simplify right side
    522,676,862.78x = 166,037,935,685,892,352
  5. Step 5: Solve for x
    x = 166,037,935,685,892,352/522,676,862.78
  6. Step 6: Final answer
    x = 317,668,424.81

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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.