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Finding the Fourth Proportional to 392,925.64, 589,392.58 and 314,538.16

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Solution

The fourth proportional to 392,925.64, 589,392.58 and 314,538.16 is: 471,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,925.64 : 589,392.58 = 314,538.16 : x
  2. Step 2: Convert to fraction form
    392,925.64/589,392.58 = 314,538.16/x
  3. Step 3: Cross multiply
    392,925.64x = 589,392.58 × 314,538.16
  4. Step 4: Simplify right side
    392,925.64x = 185,386,457,630.85
  5. Step 5: Solve for x
    x = 185,386,457,630.85/392,925.64
  6. Step 6: Final answer
    x = 471,810.54

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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.