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Finding the Fourth Proportional to 355,705.84, 533,559.68 and 145,343.78

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Solution

The fourth proportional to 355,705.84, 533,559.68 and 145,343.78 is: 218,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,705.84 : 533,559.68 = 145,343.78 : x
  2. Step 2: Convert to fraction form
    355,705.84/533,559.68 = 145,343.78/x
  3. Step 3: Cross multiply
    355,705.84x = 533,559.68 × 145,343.78
  4. Step 4: Simplify right side
    355,705.84x = 77,549,580,489.81
  5. Step 5: Solve for x
    x = 77,549,580,489.81/355,705.84
  6. Step 6: Final answer
    x = 218,016.04

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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.