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Finding the Fourth Proportional to 287,259.76, 430,919.20 and 109,915.92

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Solution

The fourth proportional to 287,259.76, 430,919.20 and 109,915.92 is: 164,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,259.76 : 430,919.20 = 109,915.92 : x
  2. Step 2: Convert to fraction form
    287,259.76/430,919.20 = 109,915.92/x
  3. Step 3: Cross multiply
    287,259.76x = 430,919.20 × 109,915.92
  4. Step 4: Simplify right side
    287,259.76x = 47,364,880,313.66
  5. Step 5: Solve for x
    x = 47,364,880,313.66/287,259.76
  6. Step 6: Final answer
    x = 164,885.19

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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.