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Finding the Fourth Proportional to 651,706.80, 977,122.80 and 314,908.80

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Solution

The fourth proportional to 651,706.80, 977,122.80 and 314,908.80 is: 472,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,706.80 : 977,122.80 = 314,908.80 : x
  2. Step 2: Convert to fraction form
    651,706.80/977,122.80 = 314,908.80/x
  3. Step 3: Cross multiply
    651,706.80x = 977,122.80 × 314,908.80
  4. Step 4: Simplify right side
    651,706.80x = 307,704,568,400.64
  5. Step 5: Solve for x
    x = 307,704,568,400.64/651,706.80
  6. Step 6: Final answer
    x = 472,151.85

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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.