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Finding the Fourth Proportional to 315,573.16, 473,359.74 and 78,915.84

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Solution

The fourth proportional to 315,573.16, 473,359.74 and 78,915.84 is: 118,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,573.16 : 473,359.74 = 78,915.84 : x
  2. Step 2: Convert to fraction form
    315,573.16/473,359.74 = 78,915.84/x
  3. Step 3: Cross multiply
    315,573.16x = 473,359.74 × 78,915.84
  4. Step 4: Simplify right side
    315,573.16x = 37,355,582,539.80
  5. Step 5: Solve for x
    x = 37,355,582,539.80/315,573.16
  6. Step 6: Final answer
    x = 118,373.76

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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.