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Finding the Fourth Proportional to 561,409.61, 774,726.72 and 354,788.42

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Solution

The fourth proportional to 561,409.61, 774,726.72 and 354,788.42 is: 489,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,409.61 : 774,726.72 = 354,788.42 : x
  2. Step 2: Convert to fraction form
    561,409.61/774,726.72 = 354,788.42/x
  3. Step 3: Cross multiply
    561,409.61x = 774,726.72 × 354,788.42
  4. Step 4: Simplify right side
    561,409.61x = 274,864,073,802.95
  5. Step 5: Solve for x
    x = 274,864,073,802.95/561,409.61
  6. Step 6: Final answer
    x = 489,596.31

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1.5x scale

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.