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Finding the Fourth Proportional to 407,713.20, 610,360.20 and 302,996.40

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Solution

The fourth proportional to 407,713.20, 610,360.20 and 302,996.40 is: 453,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.20 : 610,360.20 = 302,996.40 : x
  2. Step 2: Convert to fraction form
    407,713.20/610,360.20 = 302,996.40/x
  3. Step 3: Cross multiply
    407,713.20x = 610,360.20 × 302,996.40
  4. Step 4: Simplify right side
    407,713.20x = 184,936,943,303.28
  5. Step 5: Solve for x
    x = 184,936,943,303.28/407,713.20
  6. Step 6: Final answer
    x = 453,595.67

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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.