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Finding the Fourth Proportional to 569,472.64, 785,888.64 and 314,840.20

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Solution

The fourth proportional to 569,472.64, 785,888.64 and 314,840.20 is: 434,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,472.64 : 785,888.64 = 314,840.20 : x
  2. Step 2: Convert to fraction form
    569,472.64/785,888.64 = 314,840.20/x
  3. Step 3: Cross multiply
    569,472.64x = 785,888.64 × 314,840.20
  4. Step 4: Simplify right side
    569,472.64x = 247,429,336,595.33
  5. Step 5: Solve for x
    x = 247,429,336,595.33/569,472.64
  6. Step 6: Final answer
    x = 434,488.54

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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.