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Finding the Fourth Proportional to 405,357.48, 559,316.34 and 254,386.44

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Solution

The fourth proportional to 405,357.48, 559,316.34 and 254,386.44 is: 351,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,357.48 : 559,316.34 = 254,386.44 : x
  2. Step 2: Convert to fraction form
    405,357.48/559,316.34 = 254,386.44/x
  3. Step 3: Cross multiply
    405,357.48x = 559,316.34 × 254,386.44
  4. Step 4: Simplify right side
    405,357.48x = 142,282,492,566.43
  5. Step 5: Solve for x
    x = 142,282,492,566.43/405,357.48
  6. Step 6: Final answer
    x = 351,004.98

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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.