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Finding the Fourth Proportional to 284,423.84, 392,502.21 and 155,362.25

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Solution

The fourth proportional to 284,423.84, 392,502.21 and 155,362.25 is: 214,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,423.84 : 392,502.21 = 155,362.25 : x
  2. Step 2: Convert to fraction form
    284,423.84/392,502.21 = 155,362.25/x
  3. Step 3: Cross multiply
    284,423.84x = 392,502.21 × 155,362.25
  4. Step 4: Simplify right side
    284,423.84x = 60,980,026,874.22
  5. Step 5: Solve for x
    x = 60,980,026,874.22/284,423.84
  6. Step 6: Final answer
    x = 214,398.44

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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.