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Finding the Fourth Proportional to 265,068.40, 397,466.40 and 78,055.60

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Solution

The fourth proportional to 265,068.40, 397,466.40 and 78,055.60 is: 117,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,068.40 : 397,466.40 = 78,055.60 : x
  2. Step 2: Convert to fraction form
    265,068.40/397,466.40 = 78,055.60/x
  3. Step 3: Cross multiply
    265,068.40x = 397,466.40 × 78,055.60
  4. Step 4: Simplify right side
    265,068.40x = 31,024,478,331.84
  5. Step 5: Solve for x
    x = 31,024,478,331.84/265,068.40
  6. Step 6: Final answer
    x = 117,043.29

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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.