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Finding the Fourth Proportional to 284,775.18, 392,955.39 and 157,433.46

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Solution

The fourth proportional to 284,775.18, 392,955.39 and 157,433.46 is: 217,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,775.18 : 392,955.39 = 157,433.46 : x
  2. Step 2: Convert to fraction form
    284,775.18/392,955.39 = 157,433.46/x
  3. Step 3: Cross multiply
    284,775.18x = 392,955.39 × 157,433.46
  4. Step 4: Simplify right side
    284,775.18x = 61,864,326,673.35
  5. Step 5: Solve for x
    x = 61,864,326,673.35/284,775.18
  6. Step 6: Final answer
    x = 217,239.18

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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.