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Finding the Fourth Proportional to 315,981.20, 473,050.20 and 306,765.20

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Solution

The fourth proportional to 315,981.20, 473,050.20 and 306,765.20 is: 459,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,981.20 : 473,050.20 = 306,765.20 : x
  2. Step 2: Convert to fraction form
    315,981.20/473,050.20 = 306,765.20/x
  3. Step 3: Cross multiply
    315,981.20x = 473,050.20 × 306,765.20
  4. Step 4: Simplify right side
    315,981.20x = 145,115,339,213.04
  5. Step 5: Solve for x
    x = 145,115,339,213.04/315,981.20
  6. Step 6: Final answer
    x = 459,253.08

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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.