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Finding the Fourth Proportional to 405,075.56, 558,987.14 and 232,980.53

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Solution

The fourth proportional to 405,075.56, 558,987.14 and 232,980.53 is: 321,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,075.56 : 558,987.14 = 232,980.53 : x
  2. Step 2: Convert to fraction form
    405,075.56/558,987.14 = 232,980.53/x
  3. Step 3: Cross multiply
    405,075.56x = 558,987.14 × 232,980.53
  4. Step 4: Simplify right side
    405,075.56x = 130,233,117,927.90
  5. Step 5: Solve for x
    x = 130,233,117,927.90/405,075.56
  6. Step 6: Final answer
    x = 321,503.28

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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.