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Finding the Fourth Proportional to 315,999.20, 473,077.20 and 306,783.20

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Solution

The fourth proportional to 315,999.20, 473,077.20 and 306,783.20 is: 459,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,999.20 : 473,077.20 = 306,783.20 : x
  2. Step 2: Convert to fraction form
    315,999.20/473,077.20 = 306,783.20/x
  3. Step 3: Cross multiply
    315,999.20x = 473,077.20 × 306,783.20
  4. Step 4: Simplify right side
    315,999.20x = 145,132,137,263.04
  5. Step 5: Solve for x
    x = 145,132,137,263.04/315,999.20
  6. Step 6: Final answer
    x = 459,280.08

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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.