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Finding the Fourth Proportional to 309,320.40, 463,980.60 and 151,856.40

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Solution

The fourth proportional to 309,320.40, 463,980.60 and 151,856.40 is: 227,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,320.40 : 463,980.60 = 151,856.40 : x
  2. Step 2: Convert to fraction form
    309,320.40/463,980.60 = 151,856.40/x
  3. Step 3: Cross multiply
    309,320.40x = 463,980.60 × 151,856.40
  4. Step 4: Simplify right side
    309,320.40x = 70,458,423,585.84
  5. Step 5: Solve for x
    x = 70,458,423,585.84/309,320.40
  6. Step 6: Final answer
    x = 227,784.60

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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.