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Finding the Fourth Proportional to 461,688.72, 637,051.50 and 257,729.10

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Solution

The fourth proportional to 461,688.72, 637,051.50 and 257,729.10 is: 355,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,688.72 : 637,051.50 = 257,729.10 : x
  2. Step 2: Convert to fraction form
    461,688.72/637,051.50 = 257,729.10/x
  3. Step 3: Cross multiply
    461,688.72x = 637,051.50 × 257,729.10
  4. Step 4: Simplify right side
    461,688.72x = 164,186,709,748.65
  5. Step 5: Solve for x
    x = 164,186,709,748.65/461,688.72
  6. Step 6: Final answer
    x = 355,622.09

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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.