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Finding the Fourth Proportional to 510,559.81, 704,765.32 and 401,379.30

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Solution

The fourth proportional to 510,559.81, 704,765.32 and 401,379.30 is: 554,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,559.81 : 704,765.32 = 401,379.30 : x
  2. Step 2: Convert to fraction form
    510,559.81/704,765.32 = 401,379.30/x
  3. Step 3: Cross multiply
    510,559.81x = 704,765.32 × 401,379.30
  4. Step 4: Simplify right side
    510,559.81x = 282,878,208,798.98
  5. Step 5: Solve for x
    x = 282,878,208,798.98/510,559.81
  6. Step 6: Final answer
    x = 554,054.99

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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.