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Finding the Fourth Proportional to 390,200.40, 584,004.60 and 283,280.40

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Solution

The fourth proportional to 390,200.40, 584,004.60 and 283,280.40 is: 423,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,200.40 : 584,004.60 = 283,280.40 : x
  2. Step 2: Convert to fraction form
    390,200.40/584,004.60 = 283,280.40/x
  3. Step 3: Cross multiply
    390,200.40x = 584,004.60 × 283,280.40
  4. Step 4: Simplify right side
    390,200.40x = 165,437,056,689.84
  5. Step 5: Solve for x
    x = 165,437,056,689.84/390,200.40
  6. Step 6: Final answer
    x = 423,979.72

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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.