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Finding the Fourth Proportional to 287,838.10, 431,368.35 and 254,401.30

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Solution

The fourth proportional to 287,838.10, 431,368.35 and 254,401.30 is: 381,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,838.10 : 431,368.35 = 254,401.30 : x
  2. Step 2: Convert to fraction form
    287,838.10/431,368.35 = 254,401.30/x
  3. Step 3: Cross multiply
    287,838.10x = 431,368.35 × 254,401.30
  4. Step 4: Simplify right side
    287,838.10x = 109,740,669,018.86
  5. Step 5: Solve for x
    x = 109,740,669,018.86/287,838.10
  6. Step 6: Final answer
    x = 381,258.32

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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.