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Finding the Fourth Proportional to 652,149.20, 978,223.80 and 402,971.60

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Solution

The fourth proportional to 652,149.20, 978,223.80 and 402,971.60 is: 604,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,149.20 : 978,223.80 = 402,971.60 : x
  2. Step 2: Convert to fraction form
    652,149.20/978,223.80 = 402,971.60/x
  3. Step 3: Cross multiply
    652,149.20x = 978,223.80 × 402,971.60
  4. Step 4: Simplify right side
    652,149.20x = 394,196,409,844.08
  5. Step 5: Solve for x
    x = 394,196,409,844.08/652,149.20
  6. Step 6: Final answer
    x = 604,457.40

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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.