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Finding the Fourth Proportional to 289,206.60, 432,935.10 and 257,713.80

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Solution

The fourth proportional to 289,206.60, 432,935.10 and 257,713.80 is: 385,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,206.60 : 432,935.10 = 257,713.80 : x
  2. Step 2: Convert to fraction form
    289,206.60/432,935.10 = 257,713.80/x
  3. Step 3: Cross multiply
    289,206.60x = 432,935.10 × 257,713.80
  4. Step 4: Simplify right side
    289,206.60x = 111,573,349,774.38
  5. Step 5: Solve for x
    x = 111,573,349,774.38/289,206.60
  6. Step 6: Final answer
    x = 385,791.16

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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.