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Finding the Fourth Proportional to 493,502.80, 681,038.56 and 289,557.20

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Solution

The fourth proportional to 493,502.80, 681,038.56 and 289,557.20 is: 399,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,502.80 : 681,038.56 = 289,557.20 : x
  2. Step 2: Convert to fraction form
    493,502.80/681,038.56 = 289,557.20/x
  3. Step 3: Cross multiply
    493,502.80x = 681,038.56 × 289,557.20
  4. Step 4: Simplify right side
    493,502.80x = 197,199,618,525.63
  5. Step 5: Solve for x
    x = 197,199,618,525.63/493,502.80
  6. Step 6: Final answer
    x = 399,591.69

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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.