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Finding the Fourth Proportional to 284,679, 392,823 and 157,337.28

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Solution

The fourth proportional to 284,679, 392,823 and 157,337.28 is: 217,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,679 : 392,823 = 157,337.28 : x
  2. Step 2: Convert to fraction form
    284,679/392,823 = 157,337.28/x
  3. Step 3: Cross multiply
    284,679x = 392,823 × 157,337.28
  4. Step 4: Simplify right side
    284,679x = 61,805,702,341.44
  5. Step 5: Solve for x
    x = 61,805,702,341.44/284,679
  6. Step 6: Final answer
    x = 217,106.64

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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.