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Finding the Fourth Proportional to 564,353.16, 778,816.86 and 309,728.04

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Solution

The fourth proportional to 564,353.16, 778,816.86 and 309,728.04 is: 427,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,353.16 : 778,816.86 = 309,728.04 : x
  2. Step 2: Convert to fraction form
    564,353.16/778,816.86 = 309,728.04/x
  3. Step 3: Cross multiply
    564,353.16x = 778,816.86 × 309,728.04
  4. Step 4: Simplify right side
    564,353.16x = 241,221,419,566.75
  5. Step 5: Solve for x
    x = 241,221,419,566.75/564,353.16
  6. Step 6: Final answer
    x = 427,429.91

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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.