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Finding the Fourth Proportional to 504,140.22, 695,706.30 and 289,275.84

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Solution

The fourth proportional to 504,140.22, 695,706.30 and 289,275.84 is: 399,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,140.22 : 695,706.30 = 289,275.84 : x
  2. Step 2: Convert to fraction form
    504,140.22/695,706.30 = 289,275.84/x
  3. Step 3: Cross multiply
    504,140.22x = 695,706.30 × 289,275.84
  4. Step 4: Simplify right side
    504,140.22x = 201,251,024,325.79
  5. Step 5: Solve for x
    x = 201,251,024,325.79/504,140.22
  6. Step 6: Final answer
    x = 399,196.53

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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.