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Finding the Fourth Proportional to 564,448.04, 778,937.16 and 309,793.76

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Solution

The fourth proportional to 564,448.04, 778,937.16 and 309,793.76 is: 427,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,448.04 : 778,937.16 = 309,793.76 : x
  2. Step 2: Convert to fraction form
    564,448.04/778,937.16 = 309,793.76/x
  3. Step 3: Cross multiply
    564,448.04x = 778,937.16 × 309,793.76
  4. Step 4: Simplify right side
    564,448.04x = 241,309,871,600.12
  5. Step 5: Solve for x
    x = 241,309,871,600.12/564,448.04
  6. Step 6: Final answer
    x = 427,514.77

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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.