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Finding the Fourth Proportional to 407,580.16, 610,508.40 and 257,743.12

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Solution

The fourth proportional to 407,580.16, 610,508.40 and 257,743.12 is: 386,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,580.16 : 610,508.40 = 257,743.12 : x
  2. Step 2: Convert to fraction form
    407,580.16/610,508.40 = 257,743.12/x
  3. Step 3: Cross multiply
    407,580.16x = 610,508.40 × 257,743.12
  4. Step 4: Simplify right side
    407,580.16x = 157,354,339,802.21
  5. Step 5: Solve for x
    x = 157,354,339,802.21/407,580.16
  6. Step 6: Final answer
    x = 386,069.67

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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.