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Finding the Fourth Proportional to 315,459.96, 472,934.70 and 215,368.44

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Solution

The fourth proportional to 315,459.96, 472,934.70 and 215,368.44 is: 322,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,459.96 : 472,934.70 = 215,368.44 : x
  2. Step 2: Convert to fraction form
    315,459.96/472,934.70 = 215,368.44/x
  3. Step 3: Cross multiply
    315,459.96x = 472,934.70 × 215,368.44
  4. Step 4: Simplify right side
    315,459.96x = 101,855,208,560.87
  5. Step 5: Solve for x
    x = 101,855,208,560.87/315,459.96
  6. Step 6: Final answer
    x = 322,878.40

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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.