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Finding the Fourth Proportional to 509,974,686.90, 764,962,030.35 and 399,009,806.10

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Solution

The fourth proportional to 509,974,686.90, 764,962,030.35 and 399,009,806.10 is: 598,514,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,974,686.90 : 764,962,030.35 = 399,009,806.10 : x
  2. Step 2: Convert to fraction form
    509,974,686.90/764,962,030.35 = 399,009,806.10/x
  3. Step 3: Cross multiply
    509,974,686.90x = 764,962,030.35 × 399,009,806.10
  4. Step 4: Simplify right side
    509,974,686.90x = 305,227,351,403,815,872
  5. Step 5: Solve for x
    x = 305,227,351,403,815,872/509,974,686.90
  6. Step 6: Final answer
    x = 598,514,709.15

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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.