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Finding the Fourth Proportional to 492,633.84, 679,905.24 and 357,116.40

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Solution

The fourth proportional to 492,633.84, 679,905.24 and 357,116.40 is: 492,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,633.84 : 679,905.24 = 357,116.40 : x
  2. Step 2: Convert to fraction form
    492,633.84/679,905.24 = 357,116.40/x
  3. Step 3: Cross multiply
    492,633.84x = 679,905.24 × 357,116.40
  4. Step 4: Simplify right side
    492,633.84x = 242,805,311,649.94
  5. Step 5: Solve for x
    x = 242,805,311,649.94/492,633.84
  6. Step 6: Final answer
    x = 492,871.77

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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.