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Finding the Fourth Proportional to 539,810.40, 809,024.40 and 414,530.40

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Solution

The fourth proportional to 539,810.40, 809,024.40 and 414,530.40 is: 621,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,810.40 : 809,024.40 = 414,530.40 : x
  2. Step 2: Convert to fraction form
    539,810.40/809,024.40 = 414,530.40/x
  3. Step 3: Cross multiply
    539,810.40x = 809,024.40 × 414,530.40
  4. Step 4: Simplify right side
    539,810.40x = 335,365,208,141.76
  5. Step 5: Solve for x
    x = 335,365,208,141.76/539,810.40
  6. Step 6: Final answer
    x = 621,264.81

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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.