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Finding the Fourth Proportional to 478,136.50, 659,828.40 and 266,168.50

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Solution

The fourth proportional to 478,136.50, 659,828.40 and 266,168.50 is: 367,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,136.50 : 659,828.40 = 266,168.50 : x
  2. Step 2: Convert to fraction form
    478,136.50/659,828.40 = 266,168.50/x
  3. Step 3: Cross multiply
    478,136.50x = 659,828.40 × 266,168.50
  4. Step 4: Simplify right side
    478,136.50x = 175,625,535,485.40
  5. Step 5: Solve for x
    x = 175,625,535,485.40/478,136.50
  6. Step 6: Final answer
    x = 367,312.55

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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.