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Finding the Fourth Proportional to 357,021, 535,509.72 and 146,653.56

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Solution

The fourth proportional to 357,021, 535,509.72 and 146,653.56 is: 219,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,021 : 535,509.72 = 146,653.56 : x
  2. Step 2: Convert to fraction form
    357,021/535,509.72 = 146,653.56/x
  3. Step 3: Cross multiply
    357,021x = 535,509.72 × 146,653.56
  4. Step 4: Simplify right side
    357,021x = 78,534,406,852.60
  5. Step 5: Solve for x
    x = 78,534,406,852.60/357,021
  6. Step 6: Final answer
    x = 219,971.39

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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.