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Finding the Fourth Proportional to 405,428.60, 607,268.10 and 335,444.60

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Solution

The fourth proportional to 405,428.60, 607,268.10 and 335,444.60 is: 502,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,428.60 : 607,268.10 = 335,444.60 : x
  2. Step 2: Convert to fraction form
    405,428.60/607,268.10 = 335,444.60/x
  3. Step 3: Cross multiply
    405,428.60x = 607,268.10 × 335,444.60
  4. Step 4: Simplify right side
    405,428.60x = 203,704,804,897.26
  5. Step 5: Solve for x
    x = 203,704,804,897.26/405,428.60
  6. Step 6: Final answer
    x = 502,443.11

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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.