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Finding the Fourth Proportional to 711,018, 1,066,527 and 212,382

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Solution

The fourth proportional to 711,018, 1,066,527 and 212,382 is: 318,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,018 : 1,066,527 = 212,382 : x
  2. Step 2: Convert to fraction form
    711,018/1,066,527 = 212,382/x
  3. Step 3: Cross multiply
    711,018x = 1,066,527 × 212,382
  4. Step 4: Simplify right side
    711,018x = 226,511,137,314
  5. Step 5: Solve for x
    x = 226,511,137,314/711,018
  6. Step 6: Final answer
    x = 318,573

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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.