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Finding the Fourth Proportional to 477,421.32, 716,078.40 and 122,443.68

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Solution

The fourth proportional to 477,421.32, 716,078.40 and 122,443.68 is: 183,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,421.32 : 716,078.40 = 122,443.68 : x
  2. Step 2: Convert to fraction form
    477,421.32/716,078.40 = 122,443.68/x
  3. Step 3: Cross multiply
    477,421.32x = 716,078.40 × 122,443.68
  4. Step 4: Simplify right side
    477,421.32x = 87,679,274,464.51
  5. Step 5: Solve for x
    x = 87,679,274,464.51/477,421.32
  6. Step 6: Final answer
    x = 183,651.78

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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.