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Finding the Fourth Proportional to 477,904.80, 716,955.20 and 399,566.48

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Solution

The fourth proportional to 477,904.80, 716,955.20 and 399,566.48 is: 599,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,904.80 : 716,955.20 = 399,566.48 : x
  2. Step 2: Convert to fraction form
    477,904.80/716,955.20 = 399,566.48/x
  3. Step 3: Cross multiply
    477,904.80x = 716,955.20 × 399,566.48
  4. Step 4: Simplify right side
    477,904.80x = 286,471,265,581.70
  5. Step 5: Solve for x
    x = 286,471,265,581.70/477,904.80
  6. Step 6: Final answer
    x = 599,431.66

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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.