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Finding the Fourth Proportional to 487,409.94, 731,039.31 and 188,030.70

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Solution

The fourth proportional to 487,409.94, 731,039.31 and 188,030.70 is: 282,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,409.94 : 731,039.31 = 188,030.70 : x
  2. Step 2: Convert to fraction form
    487,409.94/731,039.31 = 188,030.70/x
  3. Step 3: Cross multiply
    487,409.94x = 731,039.31 × 188,030.70
  4. Step 4: Simplify right side
    487,409.94x = 137,457,833,186.82
  5. Step 5: Solve for x
    x = 137,457,833,186.82/487,409.94
  6. Step 6: Final answer
    x = 282,016.89

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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.