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Finding the Fourth Proportional to 534,995,812.80, 802,493,719.20 and 478,875,643.20

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Solution

The fourth proportional to 534,995,812.80, 802,493,719.20 and 478,875,643.20 is: 718,313,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,995,812.80 : 802,493,719.20 = 478,875,643.20 : x
  2. Step 2: Convert to fraction form
    534,995,812.80/802,493,719.20 = 478,875,643.20/x
  3. Step 3: Cross multiply
    534,995,812.80x = 802,493,719.20 × 478,875,643.20
  4. Step 4: Simplify right side
    534,995,812.80x = 384,294,695,945,860,224
  5. Step 5: Solve for x
    x = 384,294,695,945,860,224/534,995,812.80
  6. Step 6: Final answer
    x = 718,313,464.80

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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.