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Finding the Fourth Proportional to 567,998.64, 783,840.78 and 313,349.76

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Solution

The fourth proportional to 567,998.64, 783,840.78 and 313,349.76 is: 432,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,998.64 : 783,840.78 = 313,349.76 : x
  2. Step 2: Convert to fraction form
    567,998.64/783,840.78 = 313,349.76/x
  3. Step 3: Cross multiply
    567,998.64x = 783,840.78 × 313,349.76
  4. Step 4: Simplify right side
    567,998.64x = 245,616,320,291.21
  5. Step 5: Solve for x
    x = 245,616,320,291.21/567,998.64
  6. Step 6: Final answer
    x = 432,424.13

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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.