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Finding the Fourth Proportional to 280,755.47, 387,442.71 and 153,431.06

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Solution

The fourth proportional to 280,755.47, 387,442.71 and 153,431.06 is: 211,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,755.47 : 387,442.71 = 153,431.06 : x
  2. Step 2: Convert to fraction form
    280,755.47/387,442.71 = 153,431.06/x
  3. Step 3: Cross multiply
    280,755.47x = 387,442.71 × 153,431.06
  4. Step 4: Simplify right side
    280,755.47x = 59,445,743,747.36
  5. Step 5: Solve for x
    x = 59,445,743,747.36/280,755.47
  6. Step 6: Final answer
    x = 211,734.94

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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.