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Finding the Fourth Proportional to 642,109.02, 886,116.96 and 387,411

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Solution

The fourth proportional to 642,109.02, 886,116.96 and 387,411 is: 534,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,109.02 : 886,116.96 = 387,411 : x
  2. Step 2: Convert to fraction form
    642,109.02/886,116.96 = 387,411/x
  3. Step 3: Cross multiply
    642,109.02x = 886,116.96 × 387,411
  4. Step 4: Simplify right side
    642,109.02x = 343,291,457,590.56
  5. Step 5: Solve for x
    x = 343,291,457,590.56/642,109.02
  6. Step 6: Final answer
    x = 534,631.11

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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.