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Finding the Fourth Proportional to 802,192.88, 1,106,885.87 and 457,871.60

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Solution

The fourth proportional to 802,192.88, 1,106,885.87 and 457,871.60 is: 631,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,192.88 : 1,106,885.87 = 457,871.60 : x
  2. Step 2: Convert to fraction form
    802,192.88/1,106,885.87 = 457,871.60/x
  3. Step 3: Cross multiply
    802,192.88x = 1,106,885.87 × 457,871.60
  4. Step 4: Simplify right side
    802,192.88x = 506,811,604,314.29
  5. Step 5: Solve for x
    x = 506,811,604,314.29/802,192.88
  6. Step 6: Final answer
    x = 631,782.73

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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.