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Finding the Fourth Proportional to 841,980, 1,161,932.40 and 484,284

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Solution

The fourth proportional to 841,980, 1,161,932.40 and 484,284 is: 668,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,980 : 1,161,932.40 = 484,284 : x
  2. Step 2: Convert to fraction form
    841,980/1,161,932.40 = 484,284/x
  3. Step 3: Cross multiply
    841,980x = 1,161,932.40 × 484,284
  4. Step 4: Simplify right side
    841,980x = 562,705,270,401.60
  5. Step 5: Solve for x
    x = 562,705,270,401.60/841,980
  6. Step 6: Final answer
    x = 668,311.92

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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.