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Finding the Fourth Proportional to 280,904.85, 387,650.32 and 153,580.44

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Solution

The fourth proportional to 280,904.85, 387,650.32 and 153,580.44 is: 211,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,904.85 : 387,650.32 = 153,580.44 : x
  2. Step 2: Convert to fraction form
    280,904.85/387,650.32 = 153,580.44/x
  3. Step 3: Cross multiply
    280,904.85x = 387,650.32 × 153,580.44
  4. Step 4: Simplify right side
    280,904.85x = 59,535,506,711.74
  5. Step 5: Solve for x
    x = 59,535,506,711.74/280,904.85
  6. Step 6: Final answer
    x = 211,941.90

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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.