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Finding the Fourth Proportional to 305,407.53, 421,482.32 and 176,351.45

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Solution

The fourth proportional to 305,407.53, 421,482.32 and 176,351.45 is: 243,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,407.53 : 421,482.32 = 176,351.45 : x
  2. Step 2: Convert to fraction form
    305,407.53/421,482.32 = 176,351.45/x
  3. Step 3: Cross multiply
    305,407.53x = 421,482.32 × 176,351.45
  4. Step 4: Simplify right side
    305,407.53x = 74,329,015,953.51
  5. Step 5: Solve for x
    x = 74,329,015,953.51/305,407.53
  6. Step 6: Final answer
    x = 243,376.50

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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.