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Finding the Fourth Proportional to 405,075.80, 607,556.10 and 138,848.60

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Solution

The fourth proportional to 405,075.80, 607,556.10 and 138,848.60 is: 208,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,075.80 : 607,556.10 = 138,848.60 : x
  2. Step 2: Convert to fraction form
    405,075.80/607,556.10 = 138,848.60/x
  3. Step 3: Cross multiply
    405,075.80x = 607,556.10 × 138,848.60
  4. Step 4: Simplify right side
    405,075.80x = 84,358,313,906.46
  5. Step 5: Solve for x
    x = 84,358,313,906.46/405,075.80
  6. Step 6: Final answer
    x = 208,253.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.