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Finding the Fourth Proportional to 565,632.81, 780,576.21 and 311,000.40

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Solution

The fourth proportional to 565,632.81, 780,576.21 and 311,000.40 is: 429,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,632.81 : 780,576.21 = 311,000.40 : x
  2. Step 2: Convert to fraction form
    565,632.81/780,576.21 = 311,000.40/x
  3. Step 3: Cross multiply
    565,632.81x = 780,576.21 × 311,000.40
  4. Step 4: Simplify right side
    565,632.81x = 242,759,513,540.48
  5. Step 5: Solve for x
    x = 242,759,513,540.48/565,632.81
  6. Step 6: Final answer
    x = 429,182.16

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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.