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Finding the Fourth Proportional to 660,509,116.40, 990,763,674.60 and 200,446,547.60

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Solution

The fourth proportional to 660,509,116.40, 990,763,674.60 and 200,446,547.60 is: 300,669,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,509,116.40 : 990,763,674.60 = 200,446,547.60 : x
  2. Step 2: Convert to fraction form
    660,509,116.40/990,763,674.60 = 200,446,547.60/x
  3. Step 3: Cross multiply
    660,509,116.40x = 990,763,674.60 × 200,446,547.60
  4. Step 4: Simplify right side
    660,509,116.40x = 198,595,158,061,059,808
  5. Step 5: Solve for x
    x = 198,595,158,061,059,808/660,509,116.40
  6. Step 6: Final answer
    x = 300,669,821.40

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1.5x scale

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.