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Finding the Fourth Proportional to 660,106,807.70, 990,160,211.55 and 585,492,491.30

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Solution

The fourth proportional to 660,106,807.70, 990,160,211.55 and 585,492,491.30 is: 878,238,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,106,807.70 : 990,160,211.55 = 585,492,491.30 : x
  2. Step 2: Convert to fraction form
    660,106,807.70/990,160,211.55 = 585,492,491.30/x
  3. Step 3: Cross multiply
    660,106,807.70x = 990,160,211.55 × 585,492,491.30
  4. Step 4: Simplify right side
    660,106,807.70x = 579,731,369,046,544,512
  5. Step 5: Solve for x
    x = 579,731,369,046,544,512/660,106,807.70
  6. Step 6: Final answer
    x = 878,238,736.95

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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.