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Finding the Fourth Proportional to 258,740.84, 357,061.70 and 145,563.64

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Solution

The fourth proportional to 258,740.84, 357,061.70 and 145,563.64 is: 200,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,740.84 : 357,061.70 = 145,563.64 : x
  2. Step 2: Convert to fraction form
    258,740.84/357,061.70 = 145,563.64/x
  3. Step 3: Cross multiply
    258,740.84x = 357,061.70 × 145,563.64
  4. Step 4: Simplify right side
    258,740.84x = 51,975,200,756.59
  5. Step 5: Solve for x
    x = 51,975,200,756.59/258,740.84
  6. Step 6: Final answer
    x = 200,877.45

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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.