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Finding the Fourth Proportional to 258,967.84, 357,409.68 and 145,812.64

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Solution

The fourth proportional to 258,967.84, 357,409.68 and 145,812.64 is: 201,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,967.84 : 357,409.68 = 145,812.64 : x
  2. Step 2: Convert to fraction form
    258,967.84/357,409.68 = 145,812.64/x
  3. Step 3: Cross multiply
    258,967.84x = 357,409.68 × 145,812.64
  4. Step 4: Simplify right side
    258,967.84x = 52,114,849,002.36
  5. Step 5: Solve for x
    x = 52,114,849,002.36/258,967.84
  6. Step 6: Final answer
    x = 201,240.62

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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.