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Finding the Fourth Proportional to 416,055.40, 624,433.20 and 389,811.40

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Solution

The fourth proportional to 416,055.40, 624,433.20 and 389,811.40 is: 585,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,055.40 : 624,433.20 = 389,811.40 : x
  2. Step 2: Convert to fraction form
    416,055.40/624,433.20 = 389,811.40/x
  3. Step 3: Cross multiply
    416,055.40x = 624,433.20 × 389,811.40
  4. Step 4: Simplify right side
    416,055.40x = 243,411,179,898.48
  5. Step 5: Solve for x
    x = 243,411,179,898.48/416,055.40
  6. Step 6: Final answer
    x = 585,045.12

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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.