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Finding the Fourth Proportional to 869,163,602.80, 1,303,745,404.20 and 665,090,258.80

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Solution

The fourth proportional to 869,163,602.80, 1,303,745,404.20 and 665,090,258.80 is: 997,635,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,163,602.80 : 1,303,745,404.20 = 665,090,258.80 : x
  2. Step 2: Convert to fraction form
    869,163,602.80/1,303,745,404.20 = 665,090,258.80/x
  3. Step 3: Cross multiply
    869,163,602.80x = 1,303,745,404.20 × 665,090,258.80
  4. Step 4: Simplify right side
    869,163,602.80x = 867,108,368,288,688,640
  5. Step 5: Solve for x
    x = 867,108,368,288,688,640/869,163,602.80
  6. Step 6: Final answer
    x = 997,635,388.20

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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.