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Finding the Fourth Proportional to 421,775.30, 632,665.35 and 172,457.30

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Solution

The fourth proportional to 421,775.30, 632,665.35 and 172,457.30 is: 258,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,775.30 : 632,665.35 = 172,457.30 : x
  2. Step 2: Convert to fraction form
    421,775.30/632,665.35 = 172,457.30/x
  3. Step 3: Cross multiply
    421,775.30x = 632,665.35 × 172,457.30
  4. Step 4: Simplify right side
    421,775.30x = 109,107,758,064.56
  5. Step 5: Solve for x
    x = 109,107,758,064.56/421,775.30
  6. Step 6: Final answer
    x = 258,686.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.