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Finding the Fourth Proportional to 265,420.54, 398,130.84 and 78,417.46

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Solution

The fourth proportional to 265,420.54, 398,130.84 and 78,417.46 is: 117,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,420.54 : 398,130.84 = 78,417.46 : x
  2. Step 2: Convert to fraction form
    265,420.54/398,130.84 = 78,417.46/x
  3. Step 3: Cross multiply
    265,420.54x = 398,130.84 × 78,417.46
  4. Step 4: Simplify right side
    265,420.54x = 31,220,409,220.47
  5. Step 5: Solve for x
    x = 31,220,409,220.47/265,420.54
  6. Step 6: Final answer
    x = 117,626.20

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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.