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Finding the Fourth Proportional to 284,685.03, 392,850 and 157,353.03

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Solution

The fourth proportional to 284,685.03, 392,850 and 157,353.03 is: 217,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,685.03 : 392,850 = 157,353.03 : x
  2. Step 2: Convert to fraction form
    284,685.03/392,850 = 157,353.03/x
  3. Step 3: Cross multiply
    284,685.03x = 392,850 × 157,353.03
  4. Step 4: Simplify right side
    284,685.03x = 61,816,137,835.50
  5. Step 5: Solve for x
    x = 61,816,137,835.50/284,685.03
  6. Step 6: Final answer
    x = 217,138.70

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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.