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Finding the Fourth Proportional to 407,114.10, 610,671.15 and 302,138.10

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Solution

The fourth proportional to 407,114.10, 610,671.15 and 302,138.10 is: 453,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,114.10 : 610,671.15 = 302,138.10 : x
  2. Step 2: Convert to fraction form
    407,114.10/610,671.15 = 302,138.10/x
  3. Step 3: Cross multiply
    407,114.10x = 610,671.15 × 302,138.10
  4. Step 4: Simplify right side
    407,114.10x = 184,507,020,985.82
  5. Step 5: Solve for x
    x = 184,507,020,985.82/407,114.10
  6. Step 6: Final answer
    x = 453,207.15

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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.