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Finding the Fourth Proportional to 406,960.80, 611,024.40 and 307,816.80

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Solution

The fourth proportional to 406,960.80, 611,024.40 and 307,816.80 is: 462,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,960.80 : 611,024.40 = 307,816.80 : x
  2. Step 2: Convert to fraction form
    406,960.80/611,024.40 = 307,816.80/x
  3. Step 3: Cross multiply
    406,960.80x = 611,024.40 × 307,816.80
  4. Step 4: Simplify right side
    406,960.80x = 188,083,575,529.92
  5. Step 5: Solve for x
    x = 188,083,575,529.92/406,960.80
  6. Step 6: Final answer
    x = 462,166.32

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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.