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Finding the Fourth Proportional to 265,543.30, 398,498.91 and 105,602.85

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Solution

The fourth proportional to 265,543.30, 398,498.91 and 105,602.85 is: 158,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,543.30 : 398,498.91 = 105,602.85 : x
  2. Step 2: Convert to fraction form
    265,543.30/398,498.91 = 105,602.85/x
  3. Step 3: Cross multiply
    265,543.30x = 398,498.91 × 105,602.85
  4. Step 4: Simplify right side
    265,543.30x = 42,082,620,617.89
  5. Step 5: Solve for x
    x = 42,082,620,617.89/265,543.30
  6. Step 6: Final answer
    x = 158,477.43

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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.