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Finding the Fourth Proportional to 849,289, 1,274,130.33 and 288,323.50

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Solution

The fourth proportional to 849,289, 1,274,130.33 and 288,323.50 is: 432,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,289 : 1,274,130.33 = 288,323.50 : x
  2. Step 2: Convert to fraction form
    849,289/1,274,130.33 = 288,323.50/x
  3. Step 3: Cross multiply
    849,289x = 1,274,130.33 × 288,323.50
  4. Step 4: Simplify right side
    849,289x = 367,361,716,201.76
  5. Step 5: Solve for x
    x = 367,361,716,201.76/849,289
  6. Step 6: Final answer
    x = 432,552.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.