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Finding the Fourth Proportional to 284,160.84, 392,140.06 and 156,836.42

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Solution

The fourth proportional to 284,160.84, 392,140.06 and 156,836.42 is: 216,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,160.84 : 392,140.06 = 156,836.42 : x
  2. Step 2: Convert to fraction form
    284,160.84/392,140.06 = 156,836.42/x
  3. Step 3: Cross multiply
    284,160.84x = 392,140.06 × 156,836.42
  4. Step 4: Simplify right side
    284,160.84x = 61,501,843,148.99
  5. Step 5: Solve for x
    x = 61,501,843,148.99/284,160.84
  6. Step 6: Final answer
    x = 216,433.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.