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Finding the Fourth Proportional to 406,943.20, 610,414.80 and 346,808.80

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Solution

The fourth proportional to 406,943.20, 610,414.80 and 346,808.80 is: 520,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,943.20 : 610,414.80 = 346,808.80 : x
  2. Step 2: Convert to fraction form
    406,943.20/610,414.80 = 346,808.80/x
  3. Step 3: Cross multiply
    406,943.20x = 610,414.80 × 346,808.80
  4. Step 4: Simplify right side
    406,943.20x = 211,697,224,290.24
  5. Step 5: Solve for x
    x = 211,697,224,290.24/406,943.20
  6. Step 6: Final answer
    x = 520,213.20

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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.