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Finding the Fourth Proportional to 383,477,802.40, 575,216,703.60 and 266,135,629.60

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Solution

The fourth proportional to 383,477,802.40, 575,216,703.60 and 266,135,629.60 is: 399,203,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,477,802.40 : 575,216,703.60 = 266,135,629.60 : x
  2. Step 2: Convert to fraction form
    383,477,802.40/575,216,703.60 = 266,135,629.60/x
  3. Step 3: Cross multiply
    383,477,802.40x = 575,216,703.60 × 266,135,629.60
  4. Step 4: Simplify right side
    383,477,802.40x = 153,085,659,569,022,592
  5. Step 5: Solve for x
    x = 153,085,659,569,022,592/383,477,802.40
  6. Step 6: Final answer
    x = 399,203,444.40

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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.