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Finding the Fourth Proportional to 405,065.86, 607,070.31 and 293,123.14

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Solution

The fourth proportional to 405,065.86, 607,070.31 and 293,123.14 is: 439,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,065.86 : 607,070.31 = 293,123.14 : x
  2. Step 2: Convert to fraction form
    405,065.86/607,070.31 = 293,123.14/x
  3. Step 3: Cross multiply
    405,065.86x = 607,070.31 × 293,123.14
  4. Step 4: Simplify right side
    405,065.86x = 177,946,355,467.97
  5. Step 5: Solve for x
    x = 177,946,355,467.97/405,065.86
  6. Step 6: Final answer
    x = 439,302.28

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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.