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Finding the Fourth Proportional to 315,341.20, 472,090.20 and 306,125.20

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Solution

The fourth proportional to 315,341.20, 472,090.20 and 306,125.20 is: 458,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,341.20 : 472,090.20 = 306,125.20 : x
  2. Step 2: Convert to fraction form
    315,341.20/472,090.20 = 306,125.20/x
  3. Step 3: Cross multiply
    315,341.20x = 472,090.20 × 306,125.20
  4. Step 4: Simplify right side
    315,341.20x = 144,518,706,893.04
  5. Step 5: Solve for x
    x = 144,518,706,893.04/315,341.20
  6. Step 6: Final answer
    x = 458,293.13

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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.