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Finding the Fourth Proportional to 405,064.86, 607,068.81 and 293,122.14

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Solution

The fourth proportional to 405,064.86, 607,068.81 and 293,122.14 is: 439,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,064.86 : 607,068.81 = 293,122.14 : x
  2. Step 2: Convert to fraction form
    405,064.86/607,068.81 = 293,122.14/x
  3. Step 3: Cross multiply
    405,064.86x = 607,068.81 × 293,122.14
  4. Step 4: Simplify right side
    405,064.86x = 177,945,308,714.45
  5. Step 5: Solve for x
    x = 177,945,308,714.45/405,064.86
  6. Step 6: Final answer
    x = 439,300.78

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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.