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Finding the Fourth Proportional to 282,656.64, 390,047.80 and 161,798.88

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Solution

The fourth proportional to 282,656.64, 390,047.80 and 161,798.88 is: 223,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,656.64 : 390,047.80 = 161,798.88 : x
  2. Step 2: Convert to fraction form
    282,656.64/390,047.80 = 161,798.88/x
  3. Step 3: Cross multiply
    282,656.64x = 390,047.80 × 161,798.88
  4. Step 4: Simplify right side
    282,656.64x = 63,109,297,186.46
  5. Step 5: Solve for x
    x = 63,109,297,186.46/282,656.64
  6. Step 6: Final answer
    x = 223,271.94

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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.