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Finding the Fourth Proportional to 506,146.33, 698,454.52 and 279,777.25

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Solution

The fourth proportional to 506,146.33, 698,454.52 and 279,777.25 is: 386,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,146.33 : 698,454.52 = 279,777.25 : x
  2. Step 2: Convert to fraction form
    506,146.33/698,454.52 = 279,777.25/x
  3. Step 3: Cross multiply
    506,146.33x = 698,454.52 × 279,777.25
  4. Step 4: Simplify right side
    506,146.33x = 195,411,684,855.67
  5. Step 5: Solve for x
    x = 195,411,684,855.67/506,146.33
  6. Step 6: Final answer
    x = 386,077.45

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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.