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Finding the Fourth Proportional to 658,773, 909,106.74 and 356,967

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Solution

The fourth proportional to 658,773, 909,106.74 and 356,967 is: 492,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,773 : 909,106.74 = 356,967 : x
  2. Step 2: Convert to fraction form
    658,773/909,106.74 = 356,967/x
  3. Step 3: Cross multiply
    658,773x = 909,106.74 × 356,967
  4. Step 4: Simplify right side
    658,773x = 324,521,105,657.58
  5. Step 5: Solve for x
    x = 324,521,105,657.58/658,773
  6. Step 6: Final answer
    x = 492,614.46

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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.