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Finding the Fourth Proportional to 457,033.36, 630,909.72 and 302,077.98

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Solution

The fourth proportional to 457,033.36, 630,909.72 and 302,077.98 is: 417,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,033.36 : 630,909.72 = 302,077.98 : x
  2. Step 2: Convert to fraction form
    457,033.36/630,909.72 = 302,077.98/x
  3. Step 3: Cross multiply
    457,033.36x = 630,909.72 × 302,077.98
  4. Step 4: Simplify right side
    457,033.36x = 190,583,933,779.97
  5. Step 5: Solve for x
    x = 190,583,933,779.97/457,033.36
  6. Step 6: Final answer
    x = 417,002.24

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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.