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Finding the Fourth Proportional to 569,128.34, 785,396.85 and 314,477.30

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Solution

The fourth proportional to 569,128.34, 785,396.85 and 314,477.30 is: 433,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,128.34 : 785,396.85 = 314,477.30 : x
  2. Step 2: Convert to fraction form
    569,128.34/785,396.85 = 314,477.30/x
  3. Step 3: Cross multiply
    569,128.34x = 785,396.85 × 314,477.30
  4. Step 4: Simplify right side
    569,128.34x = 246,989,480,816.51
  5. Step 5: Solve for x
    x = 246,989,480,816.51/569,128.34
  6. Step 6: Final answer
    x = 433,978.53

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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.