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Finding the Fourth Proportional to 493,643.80, 740,465.70 and 322,401.70

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Solution

The fourth proportional to 493,643.80, 740,465.70 and 322,401.70 is: 483,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,643.80 : 740,465.70 = 322,401.70 : x
  2. Step 2: Convert to fraction form
    493,643.80/740,465.70 = 322,401.70/x
  3. Step 3: Cross multiply
    493,643.80x = 740,465.70 × 322,401.70
  4. Step 4: Simplify right side
    493,643.80x = 238,727,400,471.69
  5. Step 5: Solve for x
    x = 238,727,400,471.69/493,643.80
  6. Step 6: Final answer
    x = 483,602.55

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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.