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Finding the Fourth Proportional to 849,349, 1,172,150.12 and 486,833.26

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Solution

The fourth proportional to 849,349, 1,172,150.12 and 486,833.26 is: 671,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,349 : 1,172,150.12 = 486,833.26 : x
  2. Step 2: Convert to fraction form
    849,349/1,172,150.12 = 486,833.26/x
  3. Step 3: Cross multiply
    849,349x = 1,172,150.12 × 486,833.26
  4. Step 4: Simplify right side
    849,349x = 570,641,664,128.99
  5. Step 5: Solve for x
    x = 570,641,664,128.99/849,349
  6. Step 6: Final answer
    x = 671,857.70

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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.