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Finding the Fourth Proportional to 488,628,683.40, 732,943,025.10 and 294,759,006.60

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Solution

The fourth proportional to 488,628,683.40, 732,943,025.10 and 294,759,006.60 is: 442,138,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,628,683.40 : 732,943,025.10 = 294,759,006.60 : x
  2. Step 2: Convert to fraction form
    488,628,683.40/732,943,025.10 = 294,759,006.60/x
  3. Step 3: Cross multiply
    488,628,683.40x = 732,943,025.10 × 294,759,006.60
  4. Step 4: Simplify right side
    488,628,683.40x = 216,041,557,972,874,880
  5. Step 5: Solve for x
    x = 216,041,557,972,874,880/488,628,683.40
  6. Step 6: Final answer
    x = 442,138,509.90

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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.