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Finding the Fourth Proportional to 287,732.48, 430,492.80 and 175,392.32

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Solution

The fourth proportional to 287,732.48, 430,492.80 and 175,392.32 is: 262,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,732.48 : 430,492.80 = 175,392.32 : x
  2. Step 2: Convert to fraction form
    287,732.48/430,492.80 = 175,392.32/x
  3. Step 3: Cross multiply
    287,732.48x = 430,492.80 × 175,392.32
  4. Step 4: Simplify right side
    287,732.48x = 75,505,130,935.30
  5. Step 5: Solve for x
    x = 75,505,130,935.30/287,732.48
  6. Step 6: Final answer
    x = 262,414.35

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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.