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Finding the Fourth Proportional to 586,998, 810,057.24 and 318,726

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Solution

The fourth proportional to 586,998, 810,057.24 and 318,726 is: 439,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,998 : 810,057.24 = 318,726 : x
  2. Step 2: Convert to fraction form
    586,998/810,057.24 = 318,726/x
  3. Step 3: Cross multiply
    586,998x = 810,057.24 × 318,726
  4. Step 4: Simplify right side
    586,998x = 258,186,303,876.24
  5. Step 5: Solve for x
    x = 258,186,303,876.24/586,998
  6. Step 6: Final answer
    x = 439,841.88

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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.