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Finding the Fourth Proportional to 284,434.67, 392,512.35 and 157,107.53

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Solution

The fourth proportional to 284,434.67, 392,512.35 and 157,107.53 is: 216,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,434.67 : 392,512.35 = 157,107.53 : x
  2. Step 2: Convert to fraction form
    284,434.67/392,512.35 = 157,107.53/x
  3. Step 3: Cross multiply
    284,434.67x = 392,512.35 × 157,107.53
  4. Step 4: Simplify right side
    284,434.67x = 61,666,645,803.00
  5. Step 5: Solve for x
    x = 61,666,645,803.00/284,434.67
  6. Step 6: Final answer
    x = 216,804.25

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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.