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Finding the Fourth Proportional to 492,681.64, 679,901.10 and 266,327.12

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Solution

The fourth proportional to 492,681.64, 679,901.10 and 266,327.12 is: 367,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,681.64 : 679,901.10 = 266,327.12 : x
  2. Step 2: Convert to fraction form
    492,681.64/679,901.10 = 266,327.12/x
  3. Step 3: Cross multiply
    492,681.64x = 679,901.10 × 266,327.12
  4. Step 4: Simplify right side
    492,681.64x = 181,076,101,847.83
  5. Step 5: Solve for x
    x = 181,076,101,847.83/492,681.64
  6. Step 6: Final answer
    x = 367,531.66

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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.