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Finding the Fourth Proportional to 390,037.20, 584,618.40 and 200,424.30

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Solution

The fourth proportional to 390,037.20, 584,618.40 and 200,424.30 is: 300,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,037.20 : 584,618.40 = 200,424.30 : x
  2. Step 2: Convert to fraction form
    390,037.20/584,618.40 = 200,424.30/x
  3. Step 3: Cross multiply
    390,037.20x = 584,618.40 × 200,424.30
  4. Step 4: Simplify right side
    390,037.20x = 117,171,733,587.12
  5. Step 5: Solve for x
    x = 117,171,733,587.12/390,037.20
  6. Step 6: Final answer
    x = 300,411.69

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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.