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Finding the Fourth Proportional to 561,486.04, 774,929.74 and 357,471.78

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Solution

The fourth proportional to 561,486.04, 774,929.74 and 357,471.78 is: 493,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,486.04 : 774,929.74 = 357,471.78 : x
  2. Step 2: Convert to fraction form
    561,486.04/774,929.74 = 357,471.78/x
  3. Step 3: Cross multiply
    561,486.04x = 774,929.74 × 357,471.78
  4. Step 4: Simplify right side
    561,486.04x = 277,015,513,532.74
  5. Step 5: Solve for x
    x = 277,015,513,532.74/561,486.04
  6. Step 6: Final answer
    x = 493,361.36

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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.