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Finding the Fourth Proportional to 315,915.32, 473,606.42 and 147,346.84

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Solution

The fourth proportional to 315,915.32, 473,606.42 and 147,346.84 is: 220,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,915.32 : 473,606.42 = 147,346.84 : x
  2. Step 2: Convert to fraction form
    315,915.32/473,606.42 = 147,346.84/x
  3. Step 3: Cross multiply
    315,915.32x = 473,606.42 × 147,346.84
  4. Step 4: Simplify right side
    315,915.32x = 69,784,409,390.71
  5. Step 5: Solve for x
    x = 69,784,409,390.71/315,915.32
  6. Step 6: Final answer
    x = 220,895.93

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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.