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Finding the Fourth Proportional to 546,834.60, 821,807.10 and 478,405.80

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Solution

The fourth proportional to 546,834.60, 821,807.10 and 478,405.80 is: 718,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,834.60 : 821,807.10 = 478,405.80 : x
  2. Step 2: Convert to fraction form
    546,834.60/821,807.10 = 478,405.80/x
  3. Step 3: Cross multiply
    546,834.60x = 821,807.10 × 478,405.80
  4. Step 4: Simplify right side
    546,834.60x = 393,157,283,121.18
  5. Step 5: Solve for x
    x = 393,157,283,121.18/546,834.60
  6. Step 6: Final answer
    x = 718,969.29

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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.