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Finding the Fourth Proportional to 458,537.02, 631,740.19 and 354,814.59

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Solution

The fourth proportional to 458,537.02, 631,740.19 and 354,814.59 is: 488,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,537.02 : 631,740.19 = 354,814.59 : x
  2. Step 2: Convert to fraction form
    458,537.02/631,740.19 = 354,814.59/x
  3. Step 3: Cross multiply
    458,537.02x = 631,740.19 × 354,814.59
  4. Step 4: Simplify right side
    458,537.02x = 224,150,634,727.30
  5. Step 5: Solve for x
    x = 224,150,634,727.30/458,537.02
  6. Step 6: Final answer
    x = 488,838.69

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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.