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Finding the Fourth Proportional to 472,223.35, 651,649.25 and 257,358.80

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Solution

The fourth proportional to 472,223.35, 651,649.25 and 257,358.80 is: 355,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,223.35 : 651,649.25 = 257,358.80 : x
  2. Step 2: Convert to fraction form
    472,223.35/651,649.25 = 257,358.80/x
  3. Step 3: Cross multiply
    472,223.35x = 651,649.25 × 257,358.80
  4. Step 4: Simplify right side
    472,223.35x = 167,707,671,273.42
  5. Step 5: Solve for x
    x = 167,707,671,273.42/472,223.35
  6. Step 6: Final answer
    x = 355,144.81

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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.