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Finding the Fourth Proportional to 564,337.12, 778,794.78 and 309,712

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Solution

The fourth proportional to 564,337.12, 778,794.78 and 309,712 is: 427,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,337.12 : 778,794.78 = 309,712 : x
  2. Step 2: Convert to fraction form
    564,337.12/778,794.78 = 309,712/x
  3. Step 3: Cross multiply
    564,337.12x = 778,794.78 × 309,712
  4. Step 4: Simplify right side
    564,337.12x = 241,202,088,903.36
  5. Step 5: Solve for x
    x = 241,202,088,903.36/564,337.12
  6. Step 6: Final answer
    x = 427,407.80

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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.