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Finding the Fourth Proportional to 785,872, 1,178,808 and 287,236

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Solution

The fourth proportional to 785,872, 1,178,808 and 287,236 is: 430,854

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,872 : 1,178,808 = 287,236 : x
  2. Step 2: Convert to fraction form
    785,872/1,178,808 = 287,236/x
  3. Step 3: Cross multiply
    785,872x = 1,178,808 × 287,236
  4. Step 4: Simplify right side
    785,872x = 338,596,094,688
  5. Step 5: Solve for x
    x = 338,596,094,688/785,872
  6. Step 6: Final answer
    x = 430,854

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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.