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Finding the Fourth Proportional to 566,083, 781,194.54 and 311,428.72

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Solution

The fourth proportional to 566,083, 781,194.54 and 311,428.72 is: 429,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,083 : 781,194.54 = 311,428.72 : x
  2. Step 2: Convert to fraction form
    566,083/781,194.54 = 311,428.72/x
  3. Step 3: Cross multiply
    566,083x = 781,194.54 × 311,428.72
  4. Step 4: Simplify right side
    566,083x = 243,286,415,663.19
  5. Step 5: Solve for x
    x = 243,286,415,663.19/566,083
  6. Step 6: Final answer
    x = 429,771.63

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1.5x scale

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.