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Finding the Fourth Proportional to 457,037.82, 630,702.18 and 266,047.20

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Solution

The fourth proportional to 457,037.82, 630,702.18 and 266,047.20 is: 367,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,037.82 : 630,702.18 = 266,047.20 : x
  2. Step 2: Convert to fraction form
    457,037.82/630,702.18 = 266,047.20/x
  3. Step 3: Cross multiply
    457,037.82x = 630,702.18 × 266,047.20
  4. Step 4: Simplify right side
    457,037.82x = 167,796,549,022.90
  5. Step 5: Solve for x
    x = 167,796,549,022.90/457,037.82
  6. Step 6: Final answer
    x = 367,139.31

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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.