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Finding the Fourth Proportional to 506,063.80, 698,368.72 and 291,199.55

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Solution

The fourth proportional to 506,063.80, 698,368.72 and 291,199.55 is: 401,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,063.80 : 698,368.72 = 291,199.55 : x
  2. Step 2: Convert to fraction form
    506,063.80/698,368.72 = 291,199.55/x
  3. Step 3: Cross multiply
    506,063.80x = 698,368.72 × 291,199.55
  4. Step 4: Simplify right side
    506,063.80x = 203,364,656,998.08
  5. Step 5: Solve for x
    x = 203,364,656,998.08/506,063.80
  6. Step 6: Final answer
    x = 401,855.77

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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.