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Finding the Fourth Proportional to 282,405.40, 423,608.10 and 243,039.40

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Solution

The fourth proportional to 282,405.40, 423,608.10 and 243,039.40 is: 364,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,405.40 : 423,608.10 = 243,039.40 : x
  2. Step 2: Convert to fraction form
    282,405.40/423,608.10 = 243,039.40/x
  3. Step 3: Cross multiply
    282,405.40x = 423,608.10 × 243,039.40
  4. Step 4: Simplify right side
    282,405.40x = 102,953,458,459.14
  5. Step 5: Solve for x
    x = 102,953,458,459.14/282,405.40
  6. Step 6: Final answer
    x = 364,559.10

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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.