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Finding the Fourth Proportional to 223,574.70, 308,376.75 and 151,830.06

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Solution

The fourth proportional to 223,574.70, 308,376.75 and 151,830.06 is: 209,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,574.70 : 308,376.75 = 151,830.06 : x
  2. Step 2: Convert to fraction form
    223,574.70/308,376.75 = 151,830.06/x
  3. Step 3: Cross multiply
    223,574.70x = 308,376.75 × 151,830.06
  4. Step 4: Simplify right side
    223,574.70x = 46,820,860,455.11
  5. Step 5: Solve for x
    x = 46,820,860,455.11/223,574.70
  6. Step 6: Final answer
    x = 209,419.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.