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Finding the Fourth Proportional to 519,477.40, 777,903.90 and 414,501.40

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Solution

The fourth proportional to 519,477.40, 777,903.90 and 414,501.40 is: 620,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,477.40 : 777,903.90 = 414,501.40 : x
  2. Step 2: Convert to fraction form
    519,477.40/777,903.90 = 414,501.40/x
  3. Step 3: Cross multiply
    519,477.40x = 777,903.90 × 414,501.40
  4. Step 4: Simplify right side
    519,477.40x = 322,442,255,615.46
  5. Step 5: Solve for x
    x = 322,442,255,615.46/519,477.40
  6. Step 6: Final answer
    x = 620,705.07

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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.