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Finding the Fourth Proportional to 487,033.81, 671,671.44 and 305,762.65

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Solution

The fourth proportional to 487,033.81, 671,671.44 and 305,762.65 is: 421,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,033.81 : 671,671.44 = 305,762.65 : x
  2. Step 2: Convert to fraction form
    487,033.81/671,671.44 = 305,762.65/x
  3. Step 3: Cross multiply
    487,033.81x = 671,671.44 × 305,762.65
  4. Step 4: Simplify right side
    487,033.81x = 205,372,037,744.54
  5. Step 5: Solve for x
    x = 205,372,037,744.54/487,033.81
  6. Step 6: Final answer
    x = 421,679.22

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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.