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Finding the Fourth Proportional to 407,111.10, 610,666.65 and 302,135.10

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Solution

The fourth proportional to 407,111.10, 610,666.65 and 302,135.10 is: 453,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,111.10 : 610,666.65 = 302,135.10 : x
  2. Step 2: Convert to fraction form
    407,111.10/610,666.65 = 302,135.10/x
  3. Step 3: Cross multiply
    407,111.10x = 610,666.65 × 302,135.10
  4. Step 4: Simplify right side
    407,111.10x = 184,503,829,364.42
  5. Step 5: Solve for x
    x = 184,503,829,364.42/407,111.10
  6. Step 6: Final answer
    x = 453,202.65

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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.