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Finding the Fourth Proportional to 287,358.80, 431,038.20 and 109,871.60

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Solution

The fourth proportional to 287,358.80, 431,038.20 and 109,871.60 is: 164,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,358.80 : 431,038.20 = 109,871.60 : x
  2. Step 2: Convert to fraction form
    287,358.80/431,038.20 = 109,871.60/x
  3. Step 3: Cross multiply
    287,358.80x = 431,038.20 × 109,871.60
  4. Step 4: Simplify right side
    287,358.80x = 47,358,856,695.12
  5. Step 5: Solve for x
    x = 47,358,856,695.12/287,358.80
  6. Step 6: Final answer
    x = 164,807.40

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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.