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Finding the Fourth Proportional to 405,075.84, 607,699.92 and 138,764.88

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Solution

The fourth proportional to 405,075.84, 607,699.92 and 138,764.88 is: 208,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,075.84 : 607,699.92 = 138,764.88 : x
  2. Step 2: Convert to fraction form
    405,075.84/607,699.92 = 138,764.88/x
  3. Step 3: Cross multiply
    405,075.84x = 607,699.92 × 138,764.88
  4. Step 4: Simplify right side
    405,075.84x = 84,327,406,474.81
  5. Step 5: Solve for x
    x = 84,327,406,474.81/405,075.84
  6. Step 6: Final answer
    x = 208,176.84

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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.