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Finding the Fourth Proportional to 461,688.32, 637,113.29 and 289,698.90

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Solution

The fourth proportional to 461,688.32, 637,113.29 and 289,698.90 is: 399,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,688.32 : 637,113.29 = 289,698.90 : x
  2. Step 2: Convert to fraction form
    461,688.32/637,113.29 = 289,698.90/x
  3. Step 3: Cross multiply
    461,688.32x = 637,113.29 × 289,698.90
  4. Step 4: Simplify right side
    461,688.32x = 184,571,017,839.89
  5. Step 5: Solve for x
    x = 184,571,017,839.89/461,688.32
  6. Step 6: Final answer
    x = 399,774.07

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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.