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Finding the Fourth Proportional to 287,615.45, 430,931.10 and 182,311.40

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Solution

The fourth proportional to 287,615.45, 430,931.10 and 182,311.40 is: 273,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,615.45 : 430,931.10 = 182,311.40 : x
  2. Step 2: Convert to fraction form
    287,615.45/430,931.10 = 182,311.40/x
  3. Step 3: Cross multiply
    287,615.45x = 430,931.10 × 182,311.40
  4. Step 4: Simplify right side
    287,615.45x = 78,563,652,144.54
  5. Step 5: Solve for x
    x = 78,563,652,144.54/287,615.45
  6. Step 6: Final answer
    x = 273,155.19

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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.