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Finding the Fourth Proportional to 564,235.52, 778,642.60 and 309,581.24

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Solution

The fourth proportional to 564,235.52, 778,642.60 and 309,581.24 is: 427,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,235.52 : 778,642.60 = 309,581.24 : x
  2. Step 2: Convert to fraction form
    564,235.52/778,642.60 = 309,581.24/x
  3. Step 3: Cross multiply
    564,235.52x = 778,642.60 × 309,581.24
  4. Step 4: Simplify right side
    564,235.52x = 241,053,141,624.82
  5. Step 5: Solve for x
    x = 241,053,141,624.82/564,235.52
  6. Step 6: Final answer
    x = 427,220.78

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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.