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Finding the Fourth Proportional to 648,999.60, 972,916.20 and 412,220.40

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Solution

The fourth proportional to 648,999.60, 972,916.20 and 412,220.40 is: 617,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,999.60 : 972,916.20 = 412,220.40 : x
  2. Step 2: Convert to fraction form
    648,999.60/972,916.20 = 412,220.40/x
  3. Step 3: Cross multiply
    648,999.60x = 972,916.20 × 412,220.40
  4. Step 4: Simplify right side
    648,999.60x = 401,055,905,130.48
  5. Step 5: Solve for x
    x = 401,055,905,130.48/648,999.60
  6. Step 6: Final answer
    x = 617,960.17

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1.5x scale

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.