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Finding the Fourth Proportional to 610,830.40, 916,437.60 and 295,297.60

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Solution

The fourth proportional to 610,830.40, 916,437.60 and 295,297.60 is: 443,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,830.40 : 916,437.60 = 295,297.60 : x
  2. Step 2: Convert to fraction form
    610,830.40/916,437.60 = 295,297.60/x
  3. Step 3: Cross multiply
    610,830.40x = 916,437.60 × 295,297.60
  4. Step 4: Simplify right side
    610,830.40x = 270,621,823,829.76
  5. Step 5: Solve for x
    x = 270,621,823,829.76/610,830.40
  6. Step 6: Final answer
    x = 443,039.22

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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.