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Finding the Fourth Proportional to 506,057.72, 698,338.68 and 302,141.84

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Solution

The fourth proportional to 506,057.72, 698,338.68 and 302,141.84 is: 416,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,057.72 : 698,338.68 = 302,141.84 : x
  2. Step 2: Convert to fraction form
    506,057.72/698,338.68 = 302,141.84/x
  3. Step 3: Cross multiply
    506,057.72x = 698,338.68 × 302,141.84
  4. Step 4: Simplify right side
    506,057.72x = 210,997,333,718.37
  5. Step 5: Solve for x
    x = 210,997,333,718.37/506,057.72
  6. Step 6: Final answer
    x = 416,943.22

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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.