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Finding the Fourth Proportional to 539,654.40, 808,790.40 and 414,374.40

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Solution

The fourth proportional to 539,654.40, 808,790.40 and 414,374.40 is: 621,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,654.40 : 808,790.40 = 414,374.40 : x
  2. Step 2: Convert to fraction form
    539,654.40/808,790.40 = 414,374.40/x
  3. Step 3: Cross multiply
    539,654.40x = 808,790.40 × 414,374.40
  4. Step 4: Simplify right side
    539,654.40x = 335,142,036,725.76
  5. Step 5: Solve for x
    x = 335,142,036,725.76/539,654.40
  6. Step 6: Final answer
    x = 621,030.86

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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.