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Finding the Fourth Proportional to 564,341.36, 778,813.54 and 309,701.66

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Solution

The fourth proportional to 564,341.36, 778,813.54 and 309,701.66 is: 427,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,341.36 : 778,813.54 = 309,701.66 : x
  2. Step 2: Convert to fraction form
    564,341.36/778,813.54 = 309,701.66/x
  3. Step 3: Cross multiply
    564,341.36x = 778,813.54 × 309,701.66
  4. Step 4: Simplify right side
    564,341.36x = 241,199,846,168.48
  5. Step 5: Solve for x
    x = 241,199,846,168.48/564,341.36
  6. Step 6: Final answer
    x = 427,400.62

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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.