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Finding the Fourth Proportional to 506,178, 698,465 and 279,792.72

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Solution

The fourth proportional to 506,178, 698,465 and 279,792.72 is: 386,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,178 : 698,465 = 279,792.72 : x
  2. Step 2: Convert to fraction form
    506,178/698,465 = 279,792.72/x
  3. Step 3: Cross multiply
    506,178x = 698,465 × 279,792.72
  4. Step 4: Simplify right side
    506,178x = 195,425,422,174.80
  5. Step 5: Solve for x
    x = 195,425,422,174.80/506,178
  6. Step 6: Final answer
    x = 386,080.43

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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.