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Finding the Fourth Proportional to 345,095.84, 476,159.11 and 217,697.63

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Solution

The fourth proportional to 345,095.84, 476,159.11 and 217,697.63 is: 300,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,095.84 : 476,159.11 = 217,697.63 : x
  2. Step 2: Convert to fraction form
    345,095.84/476,159.11 = 217,697.63/x
  3. Step 3: Cross multiply
    345,095.84x = 476,159.11 × 217,697.63
  4. Step 4: Simplify right side
    345,095.84x = 103,658,706,824.87
  5. Step 5: Solve for x
    x = 103,658,706,824.87/345,095.84
  6. Step 6: Final answer
    x = 300,376.57

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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.