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Finding the Fourth Proportional to 656,656.42, 906,326.76 and 414,785.17

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Solution

The fourth proportional to 656,656.42, 906,326.76 and 414,785.17 is: 572,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,656.42 : 906,326.76 = 414,785.17 : x
  2. Step 2: Convert to fraction form
    656,656.42/906,326.76 = 414,785.17/x
  3. Step 3: Cross multiply
    656,656.42x = 906,326.76 × 414,785.17
  4. Step 4: Simplify right side
    656,656.42x = 375,930,899,222.15
  5. Step 5: Solve for x
    x = 375,930,899,222.15/656,656.42
  6. Step 6: Final answer
    x = 572,492.54

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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.