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Finding the Fourth Proportional to 488,047.40, 731,852.40 and 188,428.40

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Solution

The fourth proportional to 488,047.40, 731,852.40 and 188,428.40 is: 282,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,047.40 : 731,852.40 = 188,428.40 : x
  2. Step 2: Convert to fraction form
    488,047.40/731,852.40 = 188,428.40/x
  3. Step 3: Cross multiply
    488,047.40x = 731,852.40 × 188,428.40
  4. Step 4: Simplify right side
    488,047.40x = 137,901,776,768.16
  5. Step 5: Solve for x
    x = 137,901,776,768.16/488,047.40
  6. Step 6: Final answer
    x = 282,558.16

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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.