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Finding the Fourth Proportional to 540,465.84, 745,829.72 and 298,742.20

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Solution

The fourth proportional to 540,465.84, 745,829.72 and 298,742.20 is: 412,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,465.84 : 745,829.72 = 298,742.20 : x
  2. Step 2: Convert to fraction form
    540,465.84/745,829.72 = 298,742.20/x
  3. Step 3: Cross multiply
    540,465.84x = 745,829.72 × 298,742.20
  4. Step 4: Simplify right side
    540,465.84x = 222,810,811,378.18
  5. Step 5: Solve for x
    x = 222,810,811,378.18/540,465.84
  6. Step 6: Final answer
    x = 412,256.97

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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.