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Finding the Fourth Proportional to 585,990, 808,666.20 and 317,718

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Solution

The fourth proportional to 585,990, 808,666.20 and 317,718 is: 438,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,990 : 808,666.20 = 317,718 : x
  2. Step 2: Convert to fraction form
    585,990/808,666.20 = 317,718/x
  3. Step 3: Cross multiply
    585,990x = 808,666.20 × 317,718
  4. Step 4: Simplify right side
    585,990x = 256,927,807,731.60
  5. Step 5: Solve for x
    x = 256,927,807,731.60/585,990
  6. Step 6: Final answer
    x = 438,450.84

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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.