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Finding the Fourth Proportional to 456,564.64, 684,397.68 and 266,784.16

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Solution

The fourth proportional to 456,564.64, 684,397.68 and 266,784.16 is: 399,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,564.64 : 684,397.68 = 266,784.16 : x
  2. Step 2: Convert to fraction form
    456,564.64/684,397.68 = 266,784.16/x
  3. Step 3: Cross multiply
    456,564.64x = 684,397.68 × 266,784.16
  4. Step 4: Simplify right side
    456,564.64x = 182,586,460,164.75
  5. Step 5: Solve for x
    x = 182,586,460,164.75/456,564.64
  6. Step 6: Final answer
    x = 399,913.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.