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Finding the Fourth Proportional to 384,211.38, 529,718.74 and 315,045.98

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Solution

The fourth proportional to 384,211.38, 529,718.74 and 315,045.98 is: 434,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,211.38 : 529,718.74 = 315,045.98 : x
  2. Step 2: Convert to fraction form
    384,211.38/529,718.74 = 315,045.98/x
  3. Step 3: Cross multiply
    384,211.38x = 529,718.74 × 315,045.98
  4. Step 4: Simplify right side
    384,211.38x = 166,885,759,567.67
  5. Step 5: Solve for x
    x = 166,885,759,567.67/384,211.38
  6. Step 6: Final answer
    x = 434,359.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.