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Finding the Fourth Proportional to 265,477.20, 398,210.68 and 65,798

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Solution

The fourth proportional to 265,477.20, 398,210.68 and 65,798 is: 98,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,477.20 : 398,210.68 = 65,798 : x
  2. Step 2: Convert to fraction form
    265,477.20/398,210.68 = 65,798/x
  3. Step 3: Cross multiply
    265,477.20x = 398,210.68 × 65,798
  4. Step 4: Simplify right side
    265,477.20x = 26,201,466,322.64
  5. Step 5: Solve for x
    x = 26,201,466,322.64/265,477.20
  6. Step 6: Final answer
    x = 98,695.73

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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.