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Finding the Fourth Proportional to 280,543.95, 387,144.48 and 153,220.05

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Solution

The fourth proportional to 280,543.95, 387,144.48 and 153,220.05 is: 211,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,543.95 : 387,144.48 = 153,220.05 : x
  2. Step 2: Convert to fraction form
    280,543.95/387,144.48 = 153,220.05/x
  3. Step 3: Cross multiply
    280,543.95x = 387,144.48 × 153,220.05
  4. Step 4: Simplify right side
    280,543.95x = 59,318,296,582.82
  5. Step 5: Solve for x
    x = 59,318,296,582.82/280,543.95
  6. Step 6: Final answer
    x = 211,440.30

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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.