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Finding the Fourth Proportional to 412,870.10, 569,783.77 and 310,712.09

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Solution

The fourth proportional to 412,870.10, 569,783.77 and 310,712.09 is: 428,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,870.10 : 569,783.77 = 310,712.09 : x
  2. Step 2: Convert to fraction form
    412,870.10/569,783.77 = 310,712.09/x
  3. Step 3: Cross multiply
    412,870.10x = 569,783.77 × 310,712.09
  4. Step 4: Simplify right side
    412,870.10x = 177,038,702,399.08
  5. Step 5: Solve for x
    x = 177,038,702,399.08/412,870.10
  6. Step 6: Final answer
    x = 428,800.01

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1.5x scale

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.