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Finding the Fourth Proportional to 525,099.40, 786,266.70 and 384,094.60

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Solution

The fourth proportional to 525,099.40, 786,266.70 and 384,094.60 is: 575,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,099.40 : 786,266.70 = 384,094.60 : x
  2. Step 2: Convert to fraction form
    525,099.40/786,266.70 = 384,094.60/x
  3. Step 3: Cross multiply
    525,099.40x = 786,266.70 × 384,094.60
  4. Step 4: Simplify right side
    525,099.40x = 302,000,793,629.82
  5. Step 5: Solve for x
    x = 302,000,793,629.82/525,099.40
  6. Step 6: Final answer
    x = 575,130.72

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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.