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Finding the Fourth Proportional to 650,456.47, 975,268.49 and 312,824.68

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Solution

The fourth proportional to 650,456.47, 975,268.49 and 312,824.68 is: 469,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,456.47 : 975,268.49 = 312,824.68 : x
  2. Step 2: Convert to fraction form
    650,456.47/975,268.49 = 312,824.68/x
  3. Step 3: Cross multiply
    650,456.47x = 975,268.49 × 312,824.68
  4. Step 4: Simplify right side
    650,456.47x = 305,088,048,421.99
  5. Step 5: Solve for x
    x = 305,088,048,421.99/650,456.47
  6. Step 6: Final answer
    x = 469,036.84

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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.