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Finding the Fourth Proportional to 357,054.52, 535,559.78 and 146,687

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Solution

The fourth proportional to 357,054.52, 535,559.78 and 146,687 is: 220,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,054.52 : 535,559.78 = 146,687 : x
  2. Step 2: Convert to fraction form
    357,054.52/535,559.78 = 146,687/x
  3. Step 3: Cross multiply
    357,054.52x = 535,559.78 × 146,687
  4. Step 4: Simplify right side
    357,054.52x = 78,559,657,448.86
  5. Step 5: Solve for x
    x = 78,559,657,448.86/357,054.52
  6. Step 6: Final answer
    x = 220,021.46

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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.