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Finding the Fourth Proportional to 456,807.60, 683,267.40 and 409,762.80

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Solution

The fourth proportional to 456,807.60, 683,267.40 and 409,762.80 is: 612,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,807.60 : 683,267.40 = 409,762.80 : x
  2. Step 2: Convert to fraction form
    456,807.60/683,267.40 = 409,762.80/x
  3. Step 3: Cross multiply
    456,807.60x = 683,267.40 × 409,762.80
  4. Step 4: Simplify right side
    456,807.60x = 279,977,562,972.72
  5. Step 5: Solve for x
    x = 279,977,562,972.72/456,807.60
  6. Step 6: Final answer
    x = 612,900.40

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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.