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Finding the Fourth Proportional to 522,683.20, 784,284 and 207,133.12

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Solution

The fourth proportional to 522,683.20, 784,284 and 207,133.12 is: 310,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,683.20 : 784,284 = 207,133.12 : x
  2. Step 2: Convert to fraction form
    522,683.20/784,284 = 207,133.12/x
  3. Step 3: Cross multiply
    522,683.20x = 784,284 × 207,133.12
  4. Step 4: Simplify right side
    522,683.20x = 162,451,191,886.08
  5. Step 5: Solve for x
    x = 162,451,191,886.08/522,683.20
  6. Step 6: Final answer
    x = 310,802.40

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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.