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Finding the Fourth Proportional to 280,658.10, 387,255.42 and 159,792.06

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Solution

The fourth proportional to 280,658.10, 387,255.42 and 159,792.06 is: 220,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,658.10 : 387,255.42 = 159,792.06 : x
  2. Step 2: Convert to fraction form
    280,658.10/387,255.42 = 159,792.06/x
  3. Step 3: Cross multiply
    280,658.10x = 387,255.42 × 159,792.06
  4. Step 4: Simplify right side
    280,658.10x = 61,880,341,307.97
  5. Step 5: Solve for x
    x = 61,880,341,307.97/280,658.10
  6. Step 6: Final answer
    x = 220,483.01

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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.