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Finding the Fourth Proportional to 488,020.40, 732,030.60 and 188,514.80

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Solution

The fourth proportional to 488,020.40, 732,030.60 and 188,514.80 is: 282,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,020.40 : 732,030.60 = 188,514.80 : x
  2. Step 2: Convert to fraction form
    488,020.40/732,030.60 = 188,514.80/x
  3. Step 3: Cross multiply
    488,020.40x = 732,030.60 × 188,514.80
  4. Step 4: Simplify right side
    488,020.40x = 137,998,602,152.88
  5. Step 5: Solve for x
    x = 137,998,602,152.88/488,020.40
  6. Step 6: Final answer
    x = 282,772.20

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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.