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Finding the Fourth Proportional to 258,902.84, 357,263.16 and 144,172.82

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Solution

The fourth proportional to 258,902.84, 357,263.16 and 144,172.82 is: 198,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,902.84 : 357,263.16 = 144,172.82 : x
  2. Step 2: Convert to fraction form
    258,902.84/357,263.16 = 144,172.82/x
  3. Step 3: Cross multiply
    258,902.84x = 357,263.16 × 144,172.82
  4. Step 4: Simplify right side
    258,902.84x = 51,507,637,259.31
  5. Step 5: Solve for x
    x = 51,507,637,259.31/258,902.84
  6. Step 6: Final answer
    x = 198,945.82

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1.5x scale

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.