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Finding the Fourth Proportional to 517,527, 776,290.50 and 143,550

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Solution

The fourth proportional to 517,527, 776,290.50 and 143,550 is: 215,325

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,527 : 776,290.50 = 143,550 : x
  2. Step 2: Convert to fraction form
    517,527/776,290.50 = 143,550/x
  3. Step 3: Cross multiply
    517,527x = 776,290.50 × 143,550
  4. Step 4: Simplify right side
    517,527x = 111,436,501,275
  5. Step 5: Solve for x
    x = 111,436,501,275/517,527
  6. Step 6: Final answer
    x = 215,325

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.