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Finding the Fourth Proportional to 564,632.16, 779,157 and 309,961.68

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Solution

The fourth proportional to 564,632.16, 779,157 and 309,961.68 is: 427,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,632.16 : 779,157 = 309,961.68 : x
  2. Step 2: Convert to fraction form
    564,632.16/779,157 = 309,961.68/x
  3. Step 3: Cross multiply
    564,632.16x = 779,157 × 309,961.68
  4. Step 4: Simplify right side
    564,632.16x = 241,508,812,703.76
  5. Step 5: Solve for x
    x = 241,508,812,703.76/564,632.16
  6. Step 6: Final answer
    x = 427,727.70

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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.