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Finding the Fourth Proportional to 289,208.60, 432,938.10 and 257,715.80

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Solution

The fourth proportional to 289,208.60, 432,938.10 and 257,715.80 is: 385,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,208.60 : 432,938.10 = 257,715.80 : x
  2. Step 2: Convert to fraction form
    289,208.60/432,938.10 = 257,715.80/x
  3. Step 3: Cross multiply
    289,208.60x = 432,938.10 × 257,715.80
  4. Step 4: Simplify right side
    289,208.60x = 111,574,988,791.98
  5. Step 5: Solve for x
    x = 111,574,988,791.98/289,208.60
  6. Step 6: Final answer
    x = 385,794.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.