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Finding the Fourth Proportional to 501,645, 692,044.02 and 297,704.51

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Solution

The fourth proportional to 501,645, 692,044.02 and 297,704.51 is: 410,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,645 : 692,044.02 = 297,704.51 : x
  2. Step 2: Convert to fraction form
    501,645/692,044.02 = 297,704.51/x
  3. Step 3: Cross multiply
    501,645x = 692,044.02 × 297,704.51
  4. Step 4: Simplify right side
    501,645x = 206,024,622,412.31
  5. Step 5: Solve for x
    x = 206,024,622,412.31/501,645
  6. Step 6: Final answer
    x = 410,698.05

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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.