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Finding the Fourth Proportional to 506,012.89, 698,323.79 and 291,185.10

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Solution

The fourth proportional to 506,012.89, 698,323.79 and 291,185.10 is: 401,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,012.89 : 698,323.79 = 291,185.10 : x
  2. Step 2: Convert to fraction form
    506,012.89/698,323.79 = 291,185.10/x
  3. Step 3: Cross multiply
    506,012.89x = 698,323.79 × 291,185.10
  4. Step 4: Simplify right side
    506,012.89x = 203,341,482,623.53
  5. Step 5: Solve for x
    x = 203,341,482,623.53/506,012.89
  6. Step 6: Final answer
    x = 401,850.40

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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.