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Finding the Fourth Proportional to 493,075.32, 680,326.48 and 340,064.60

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Solution

The fourth proportional to 493,075.32, 680,326.48 and 340,064.60 is: 469,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,075.32 : 680,326.48 = 340,064.60 : x
  2. Step 2: Convert to fraction form
    493,075.32/680,326.48 = 340,064.60/x
  3. Step 3: Cross multiply
    493,075.32x = 680,326.48 × 340,064.60
  4. Step 4: Simplify right side
    493,075.32x = 231,354,952,290.61
  5. Step 5: Solve for x
    x = 231,354,952,290.61/493,075.32
  6. Step 6: Final answer
    x = 469,208.14

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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.