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Finding the Fourth Proportional to 280,130, 386,469.20 and 172,513.20

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Solution

The fourth proportional to 280,130, 386,469.20 and 172,513.20 is: 238,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,130 : 386,469.20 = 172,513.20 : x
  2. Step 2: Convert to fraction form
    280,130/386,469.20 = 172,513.20/x
  3. Step 3: Cross multiply
    280,130x = 386,469.20 × 172,513.20
  4. Step 4: Simplify right side
    280,130x = 66,671,038,393.44
  5. Step 5: Solve for x
    x = 66,671,038,393.44/280,130
  6. Step 6: Final answer
    x = 238,000.35

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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.