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Finding the Fourth Proportional to 501,254.58, 691,767.93 and 286,390.05

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Solution

The fourth proportional to 501,254.58, 691,767.93 and 286,390.05 is: 395,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,254.58 : 691,767.93 = 286,390.05 : x
  2. Step 2: Convert to fraction form
    501,254.58/691,767.93 = 286,390.05/x
  3. Step 3: Cross multiply
    501,254.58x = 691,767.93 × 286,390.05
  4. Step 4: Simplify right side
    501,254.58x = 198,115,452,061.10
  5. Step 5: Solve for x
    x = 198,115,452,061.10/501,254.58
  6. Step 6: Final answer
    x = 395,239.19

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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.