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Finding the Fourth Proportional to 538,961,812.80, 808,820,632.80 and 345,344,078.40

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Solution

The fourth proportional to 538,961,812.80, 808,820,632.80 and 345,344,078.40 is: 518,258,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,961,812.80 : 808,820,632.80 = 345,344,078.40 : x
  2. Step 2: Convert to fraction form
    538,961,812.80/808,820,632.80 = 345,344,078.40/x
  3. Step 3: Cross multiply
    538,961,812.80x = 808,820,632.80 × 345,344,078.40
  4. Step 4: Simplify right side
    538,961,812.80x = 279,321,416,025,220,768
  5. Step 5: Solve for x
    x = 279,321,416,025,220,768/538,961,812.80
  6. Step 6: Final answer
    x = 518,258,268.75

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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.