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Finding the Fourth Proportional to 648,154, 972,182.04 and 227,458

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Solution

The fourth proportional to 648,154, 972,182.04 and 227,458 is: 341,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,154 : 972,182.04 = 227,458 : x
  2. Step 2: Convert to fraction form
    648,154/972,182.04 = 227,458/x
  3. Step 3: Cross multiply
    648,154x = 972,182.04 × 227,458
  4. Step 4: Simplify right side
    648,154x = 221,130,582,454.32
  5. Step 5: Solve for x
    x = 221,130,582,454.32/648,154
  6. Step 6: Final answer
    x = 341,169.82

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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.