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Finding the Fourth Proportional to 315,783.87, 435,784.80 and 172,543.92

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Solution

The fourth proportional to 315,783.87, 435,784.80 and 172,543.92 is: 238,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,783.87 : 435,784.80 = 172,543.92 : x
  2. Step 2: Convert to fraction form
    315,783.87/435,784.80 = 172,543.92/x
  3. Step 3: Cross multiply
    315,783.87x = 435,784.80 × 172,543.92
  4. Step 4: Simplify right side
    315,783.87x = 75,192,017,668.42
  5. Step 5: Solve for x
    x = 75,192,017,668.42/315,783.87
  6. Step 6: Final answer
    x = 238,112.28

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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.