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Finding the Fourth Proportional to 510,909.86, 705,055.74 and 296,174.90

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Solution

The fourth proportional to 510,909.86, 705,055.74 and 296,174.90 is: 408,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,909.86 : 705,055.74 = 296,174.90 : x
  2. Step 2: Convert to fraction form
    510,909.86/705,055.74 = 296,174.90/x
  3. Step 3: Cross multiply
    510,909.86x = 705,055.74 × 296,174.90
  4. Step 4: Simplify right side
    510,909.86x = 208,819,813,288.93
  5. Step 5: Solve for x
    x = 208,819,813,288.93/510,909.86
  6. Step 6: Final answer
    x = 408,721.44

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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.