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Finding the Fourth Proportional to 457,287.46, 630,040.50 and 301,962.92

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Solution

The fourth proportional to 457,287.46, 630,040.50 and 301,962.92 is: 416,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,287.46 : 630,040.50 = 301,962.92 : x
  2. Step 2: Convert to fraction form
    457,287.46/630,040.50 = 301,962.92/x
  3. Step 3: Cross multiply
    457,287.46x = 630,040.50 × 301,962.92
  4. Step 4: Simplify right side
    457,287.46x = 190,248,865,948.06
  5. Step 5: Solve for x
    x = 190,248,865,948.06/457,287.46
  6. Step 6: Final answer
    x = 416,037.80

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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.