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Finding the Fourth Proportional to 298,752.40, 448,128.60 and 77,136.40

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Solution

The fourth proportional to 298,752.40, 448,128.60 and 77,136.40 is: 115,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,752.40 : 448,128.60 = 77,136.40 : x
  2. Step 2: Convert to fraction form
    298,752.40/448,128.60 = 77,136.40/x
  3. Step 3: Cross multiply
    298,752.40x = 448,128.60 × 77,136.40
  4. Step 4: Simplify right side
    298,752.40x = 34,567,026,941.04
  5. Step 5: Solve for x
    x = 34,567,026,941.04/298,752.40
  6. Step 6: Final answer
    x = 115,704.60

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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.