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Finding the Fourth Proportional to 260,460.48, 390,705.84 and 100,537.32

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Solution

The fourth proportional to 260,460.48, 390,705.84 and 100,537.32 is: 150,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,460.48 : 390,705.84 = 100,537.32 : x
  2. Step 2: Convert to fraction form
    260,460.48/390,705.84 = 100,537.32/x
  3. Step 3: Cross multiply
    260,460.48x = 390,705.84 × 100,537.32
  4. Step 4: Simplify right side
    260,460.48x = 39,280,518,061.95
  5. Step 5: Solve for x
    x = 39,280,518,061.95/260,460.48
  6. Step 6: Final answer
    x = 150,811.82

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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.