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Finding the Fourth Proportional to 284,507.65, 392,615.97 and 155,443.35

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Solution

The fourth proportional to 284,507.65, 392,615.97 and 155,443.35 is: 214,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,507.65 : 392,615.97 = 155,443.35 : x
  2. Step 2: Convert to fraction form
    284,507.65/392,615.97 = 155,443.35/x
  3. Step 3: Cross multiply
    284,507.65x = 392,615.97 × 155,443.35
  4. Step 4: Simplify right side
    284,507.65x = 61,029,541,640.30
  5. Step 5: Solve for x
    x = 61,029,541,640.30/284,507.65
  6. Step 6: Final answer
    x = 214,509.32

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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.