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Finding the Fourth Proportional to 516,406.08, 712,441.80 and 380,762.40

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Solution

The fourth proportional to 516,406.08, 712,441.80 and 380,762.40 is: 525,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,406.08 : 712,441.80 = 380,762.40 : x
  2. Step 2: Convert to fraction form
    516,406.08/712,441.80 = 380,762.40/x
  3. Step 3: Cross multiply
    516,406.08x = 712,441.80 × 380,762.40
  4. Step 4: Simplify right side
    516,406.08x = 271,271,049,628.32
  5. Step 5: Solve for x
    x = 271,271,049,628.32/516,406.08
  6. Step 6: Final answer
    x = 525,305.69

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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.