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Finding the Fourth Proportional to 260,497.49, 390,741.98 and 83,002.10

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Solution

The fourth proportional to 260,497.49, 390,741.98 and 83,002.10 is: 124,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,497.49 : 390,741.98 = 83,002.10 : x
  2. Step 2: Convert to fraction form
    260,497.49/390,741.98 = 83,002.10/x
  3. Step 3: Cross multiply
    260,497.49x = 390,741.98 × 83,002.10
  4. Step 4: Simplify right side
    260,497.49x = 32,432,402,529.44
  5. Step 5: Solve for x
    x = 32,432,402,529.44/260,497.49
  6. Step 6: Final answer
    x = 124,501.79

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1.5x scale

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.