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Finding the Fourth Proportional to 564,345.60, 778,825.28 and 309,694.72

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Solution

The fourth proportional to 564,345.60, 778,825.28 and 309,694.72 is: 427,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,345.60 : 778,825.28 = 309,694.72 : x
  2. Step 2: Convert to fraction form
    564,345.60/778,825.28 = 309,694.72/x
  3. Step 3: Cross multiply
    564,345.60x = 778,825.28 × 309,694.72
  4. Step 4: Simplify right side
    564,345.60x = 241,198,077,018.52
  5. Step 5: Solve for x
    x = 241,198,077,018.52/564,345.60
  6. Step 6: Final answer
    x = 427,394.27

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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.