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Finding the Fourth Proportional to 472,912.70, 709,369.05 and 465,136.70

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Solution

The fourth proportional to 472,912.70, 709,369.05 and 465,136.70 is: 697,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,912.70 : 709,369.05 = 465,136.70 : x
  2. Step 2: Convert to fraction form
    472,912.70/709,369.05 = 465,136.70/x
  3. Step 3: Cross multiply
    472,912.70x = 709,369.05 × 465,136.70
  4. Step 4: Simplify right side
    472,912.70x = 329,953,578,999.14
  5. Step 5: Solve for x
    x = 329,953,578,999.14/472,912.70
  6. Step 6: Final answer
    x = 697,705.05

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Similar ratio
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1.5x scale

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.