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Finding the Fourth Proportional to 405,810.40, 607,403.40 and 287,712.40

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Solution

The fourth proportional to 405,810.40, 607,403.40 and 287,712.40 is: 430,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,810.40 : 607,403.40 = 287,712.40 : x
  2. Step 2: Convert to fraction form
    405,810.40/607,403.40 = 287,712.40/x
  3. Step 3: Cross multiply
    405,810.40x = 607,403.40 × 287,712.40
  4. Step 4: Simplify right side
    405,810.40x = 174,757,489,982.16
  5. Step 5: Solve for x
    x = 174,757,489,982.16/405,810.40
  6. Step 6: Final answer
    x = 430,638.27

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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.