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Finding the Fourth Proportional to 877,446, 1,316,175.84 and 212,598

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Solution

The fourth proportional to 877,446, 1,316,175.84 and 212,598 is: 318,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,446 : 1,316,175.84 = 212,598 : x
  2. Step 2: Convert to fraction form
    877,446/1,316,175.84 = 212,598/x
  3. Step 3: Cross multiply
    877,446x = 1,316,175.84 × 212,598
  4. Step 4: Simplify right side
    877,446x = 279,816,351,232.32
  5. Step 5: Solve for x
    x = 279,816,351,232.32/877,446
  6. Step 6: Final answer
    x = 318,898.66

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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.