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Finding the Fourth Proportional to 702,289.68, 969,157.08 and 380,000.40

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Solution

The fourth proportional to 702,289.68, 969,157.08 and 380,000.40 is: 524,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,289.68 : 969,157.08 = 380,000.40 : x
  2. Step 2: Convert to fraction form
    702,289.68/969,157.08 = 380,000.40/x
  3. Step 3: Cross multiply
    702,289.68x = 969,157.08 × 380,000.40
  4. Step 4: Simplify right side
    702,289.68x = 368,280,078,062.83
  5. Step 5: Solve for x
    x = 368,280,078,062.83/702,289.68
  6. Step 6: Final answer
    x = 524,399.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.