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Finding the Fourth Proportional to 477,043.68, 657,815.92 and 400,510.04

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Solution

The fourth proportional to 477,043.68, 657,815.92 and 400,510.04 is: 552,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,043.68 : 657,815.92 = 400,510.04 : x
  2. Step 2: Convert to fraction form
    477,043.68/657,815.92 = 400,510.04/x
  3. Step 3: Cross multiply
    477,043.68x = 657,815.92 × 400,510.04
  4. Step 4: Simplify right side
    477,043.68x = 263,461,880,431.84
  5. Step 5: Solve for x
    x = 263,461,880,431.84/477,043.68
  6. Step 6: Final answer
    x = 552,280.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.