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Finding the Fourth Proportional to 561,116, 774,237.28 and 319,384.48

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Solution

The fourth proportional to 561,116, 774,237.28 and 319,384.48 is: 440,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,116 : 774,237.28 = 319,384.48 : x
  2. Step 2: Convert to fraction form
    561,116/774,237.28 = 319,384.48/x
  3. Step 3: Cross multiply
    561,116x = 774,237.28 × 319,384.48
  4. Step 4: Simplify right side
    561,116x = 247,279,371,069.41
  5. Step 5: Solve for x
    x = 247,279,371,069.41/561,116
  6. Step 6: Final answer
    x = 440,692.07

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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.