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Finding the Fourth Proportional to 315,984.16, 473,662.32 and 129,129.76

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Solution

The fourth proportional to 315,984.16, 473,662.32 and 129,129.76 is: 193,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,984.16 : 473,662.32 = 129,129.76 : x
  2. Step 2: Convert to fraction form
    315,984.16/473,662.32 = 129,129.76/x
  3. Step 3: Cross multiply
    315,984.16x = 473,662.32 × 129,129.76
  4. Step 4: Simplify right side
    315,984.16x = 61,163,901,702.64
  5. Step 5: Solve for x
    x = 61,163,901,702.64/315,984.16
  6. Step 6: Final answer
    x = 193,566.35

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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.