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Finding the Fourth Proportional to 666,894.68, 920,314.54 and 360,971

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Solution

The fourth proportional to 666,894.68, 920,314.54 and 360,971 is: 498,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,894.68 : 920,314.54 = 360,971 : x
  2. Step 2: Convert to fraction form
    666,894.68/920,314.54 = 360,971/x
  3. Step 3: Cross multiply
    666,894.68x = 920,314.54 × 360,971
  4. Step 4: Simplify right side
    666,894.68x = 332,206,859,818.34
  5. Step 5: Solve for x
    x = 332,206,859,818.34/666,894.68
  6. Step 6: Final answer
    x = 498,139.92

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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.