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Finding the Fourth Proportional to 802,193.38, 1,106,886.56 and 457,872.10

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Solution

The fourth proportional to 802,193.38, 1,106,886.56 and 457,872.10 is: 631,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,193.38 : 1,106,886.56 = 457,872.10 : x
  2. Step 2: Convert to fraction form
    802,193.38/1,106,886.56 = 457,872.10/x
  3. Step 3: Cross multiply
    802,193.38x = 1,106,886.56 × 457,872.10
  4. Step 4: Simplify right side
    802,193.38x = 506,812,473,688.98
  5. Step 5: Solve for x
    x = 506,812,473,688.98/802,193.38
  6. Step 6: Final answer
    x = 631,783.42

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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.