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Finding the Fourth Proportional to 506,018, 698,295.48 and 279,658.64

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Solution

The fourth proportional to 506,018, 698,295.48 and 279,658.64 is: 385,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,018 : 698,295.48 = 279,658.64 : x
  2. Step 2: Convert to fraction form
    506,018/698,295.48 = 279,658.64/x
  3. Step 3: Cross multiply
    506,018x = 698,295.48 × 279,658.64
  4. Step 4: Simplify right side
    506,018x = 195,284,364,254.95
  5. Step 5: Solve for x
    x = 195,284,364,254.95/506,018
  6. Step 6: Final answer
    x = 385,923.75

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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.