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Finding the Fourth Proportional to 461,692, 637,145.70 and 289,617.22

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Solution

The fourth proportional to 461,692, 637,145.70 and 289,617.22 is: 399,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,692 : 637,145.70 = 289,617.22 : x
  2. Step 2: Convert to fraction form
    461,692/637,145.70 = 289,617.22/x
  3. Step 3: Cross multiply
    461,692x = 637,145.70 × 289,617.22
  4. Step 4: Simplify right side
    461,692x = 184,528,366,368.95
  5. Step 5: Solve for x
    x = 184,528,366,368.95/461,692
  6. Step 6: Final answer
    x = 399,678.50

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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.