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Finding the Fourth Proportional to 356,980.08, 491,686.56 and 266,045.16

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Solution

The fourth proportional to 356,980.08, 491,686.56 and 266,045.16 is: 366,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,980.08 : 491,686.56 = 266,045.16 : x
  2. Step 2: Convert to fraction form
    356,980.08/491,686.56 = 266,045.16/x
  3. Step 3: Cross multiply
    356,980.08x = 491,686.56 × 266,045.16
  4. Step 4: Simplify right side
    356,980.08x = 130,810,829,525.05
  5. Step 5: Solve for x
    x = 130,810,829,525.05/356,980.08
  6. Step 6: Final answer
    x = 366,437.34

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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.