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Finding the Fourth Proportional to 355,848.84, 533,970.33 and 145,634.40

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Solution

The fourth proportional to 355,848.84, 533,970.33 and 145,634.40 is: 218,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,848.84 : 533,970.33 = 145,634.40 : x
  2. Step 2: Convert to fraction form
    355,848.84/533,970.33 = 145,634.40/x
  3. Step 3: Cross multiply
    355,848.84x = 533,970.33 × 145,634.40
  4. Step 4: Simplify right side
    355,848.84x = 77,764,448,627.35
  5. Step 5: Solve for x
    x = 77,764,448,627.35/355,848.84
  6. Step 6: Final answer
    x = 218,532.25

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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.