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Finding the Fourth Proportional to 469,518.48, 647,944.34 and 288,139.64

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Solution

The fourth proportional to 469,518.48, 647,944.34 and 288,139.64 is: 397,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,518.48 : 647,944.34 = 288,139.64 : x
  2. Step 2: Convert to fraction form
    469,518.48/647,944.34 = 288,139.64/x
  3. Step 3: Cross multiply
    469,518.48x = 647,944.34 × 288,139.64
  4. Step 4: Simplify right side
    469,518.48x = 186,698,444,187.22
  5. Step 5: Solve for x
    x = 186,698,444,187.22/469,518.48
  6. Step 6: Final answer
    x = 397,638.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.