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Finding the Fourth Proportional to 463,477.80, 695,216.70 and 285,407.40

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Solution

The fourth proportional to 463,477.80, 695,216.70 and 285,407.40 is: 428,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,477.80 : 695,216.70 = 285,407.40 : x
  2. Step 2: Convert to fraction form
    463,477.80/695,216.70 = 285,407.40/x
  3. Step 3: Cross multiply
    463,477.80x = 695,216.70 × 285,407.40
  4. Step 4: Simplify right side
    463,477.80x = 198,419,990,783.58
  5. Step 5: Solve for x
    x = 198,419,990,783.58/463,477.80
  6. Step 6: Final answer
    x = 428,111.10

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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.