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Finding the Fourth Proportional to 471,900.65, 651,221.91 and 257,040.18

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Solution

The fourth proportional to 471,900.65, 651,221.91 and 257,040.18 is: 354,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,900.65 : 651,221.91 = 257,040.18 : x
  2. Step 2: Convert to fraction form
    471,900.65/651,221.91 = 257,040.18/x
  3. Step 3: Cross multiply
    471,900.65x = 651,221.91 × 257,040.18
  4. Step 4: Simplify right side
    471,900.65x = 167,390,196,966.34
  5. Step 5: Solve for x
    x = 167,390,196,966.34/471,900.65
  6. Step 6: Final answer
    x = 354,714.91

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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.