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Finding the Fourth Proportional to 258,802.40, 357,075.59 and 155,409.93

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Solution

The fourth proportional to 258,802.40, 357,075.59 and 155,409.93 is: 214,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,802.40 : 357,075.59 = 155,409.93 : x
  2. Step 2: Convert to fraction form
    258,802.40/357,075.59 = 155,409.93/x
  3. Step 3: Cross multiply
    258,802.40x = 357,075.59 × 155,409.93
  4. Step 4: Simplify right side
    258,802.40x = 55,493,092,041.60
  5. Step 5: Solve for x
    x = 55,493,092,041.60/258,802.40
  6. Step 6: Final answer
    x = 214,422.63

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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.