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Finding the Fourth Proportional to 458,807.80, 686,829.30 and 409,041.40

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Solution

The fourth proportional to 458,807.80, 686,829.30 and 409,041.40 is: 612,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,807.80 : 686,829.30 = 409,041.40 : x
  2. Step 2: Convert to fraction form
    458,807.80/686,829.30 = 409,041.40/x
  3. Step 3: Cross multiply
    458,807.80x = 686,829.30 × 409,041.40
  4. Step 4: Simplify right side
    458,807.80x = 280,941,618,433.02
  5. Step 5: Solve for x
    x = 280,941,618,433.02/458,807.80
  6. Step 6: Final answer
    x = 612,329.65

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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.