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Finding the Fourth Proportional to 431,246.40, 646,869.60 and 242,289.60

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Solution

The fourth proportional to 431,246.40, 646,869.60 and 242,289.60 is: 363,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,246.40 : 646,869.60 = 242,289.60 : x
  2. Step 2: Convert to fraction form
    431,246.40/646,869.60 = 242,289.60/x
  3. Step 3: Cross multiply
    431,246.40x = 646,869.60 × 242,289.60
  4. Step 4: Simplify right side
    431,246.40x = 156,729,776,636.16
  5. Step 5: Solve for x
    x = 156,729,776,636.16/431,246.40
  6. Step 6: Final answer
    x = 363,434.40

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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.