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Finding the Fourth Proportional to 455,967.86, 628,909.29 and 320,032.13

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Solution

The fourth proportional to 455,967.86, 628,909.29 and 320,032.13 is: 441,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,967.86 : 628,909.29 = 320,032.13 : x
  2. Step 2: Convert to fraction form
    455,967.86/628,909.29 = 320,032.13/x
  3. Step 3: Cross multiply
    455,967.86x = 628,909.29 × 320,032.13
  4. Step 4: Simplify right side
    455,967.86x = 201,271,176,510.94
  5. Step 5: Solve for x
    x = 201,271,176,510.94/455,967.86
  6. Step 6: Final answer
    x = 441,415.28

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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.