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Finding the Fourth Proportional to 978,624,005.10, 1,467,936,007.65 and 591,640,478.70

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Solution

The fourth proportional to 978,624,005.10, 1,467,936,007.65 and 591,640,478.70 is: 887,460,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,624,005.10 : 1,467,936,007.65 = 591,640,478.70 : x
  2. Step 2: Convert to fraction form
    978,624,005.10/1,467,936,007.65 = 591,640,478.70/x
  3. Step 3: Cross multiply
    978,624,005.10x = 1,467,936,007.65 × 591,640,478.70
  4. Step 4: Simplify right side
    978,624,005.10x = 868,490,362,267,012,992
  5. Step 5: Solve for x
    x = 868,490,362,267,012,992/978,624,005.10
  6. Step 6: Final answer
    x = 887,460,718.05

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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.