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Finding the Fourth Proportional to 253,970.13, 380,924.07 and 147,412.15

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Solution

The fourth proportional to 253,970.13, 380,924.07 and 147,412.15 is: 221,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,970.13 : 380,924.07 = 147,412.15 : x
  2. Step 2: Convert to fraction form
    253,970.13/380,924.07 = 147,412.15/x
  3. Step 3: Cross multiply
    253,970.13x = 380,924.07 × 147,412.15
  4. Step 4: Simplify right side
    253,970.13x = 56,152,836,783.04
  5. Step 5: Solve for x
    x = 56,152,836,783.04/253,970.13
  6. Step 6: Final answer
    x = 221,100.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.