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Finding the Fourth Proportional to 492,521.50, 678,320.49 and 424,513.36

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Solution

The fourth proportional to 492,521.50, 678,320.49 and 424,513.36 is: 584,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,521.50 : 678,320.49 = 424,513.36 : x
  2. Step 2: Convert to fraction form
    492,521.50/678,320.49 = 424,513.36/x
  3. Step 3: Cross multiply
    492,521.50x = 678,320.49 × 424,513.36
  4. Step 4: Simplify right side
    492,521.50x = 287,956,110,366.75
  5. Step 5: Solve for x
    x = 287,956,110,366.75/492,521.50
  6. Step 6: Final answer
    x = 584,656.93

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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.