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Finding the Fourth Proportional to 315,554.64, 473,479.44 and 138,038.64

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Solution

The fourth proportional to 315,554.64, 473,479.44 and 138,038.64 is: 207,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,554.64 : 473,479.44 = 138,038.64 : x
  2. Step 2: Convert to fraction form
    315,554.64/473,479.44 = 138,038.64/x
  3. Step 3: Cross multiply
    315,554.64x = 473,479.44 × 138,038.64
  4. Step 4: Simplify right side
    315,554.64x = 65,358,457,965.56
  5. Step 5: Solve for x
    x = 65,358,457,965.56/315,554.64
  6. Step 6: Final answer
    x = 207,122.47

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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.