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Finding the Fourth Proportional to 292,614, 403,807.32 and 158,478

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Solution

The fourth proportional to 292,614, 403,807.32 and 158,478 is: 218,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,614 : 403,807.32 = 158,478 : x
  2. Step 2: Convert to fraction form
    292,614/403,807.32 = 158,478/x
  3. Step 3: Cross multiply
    292,614x = 403,807.32 × 158,478
  4. Step 4: Simplify right side
    292,614x = 63,994,576,458.96
  5. Step 5: Solve for x
    x = 63,994,576,458.96/292,614
  6. Step 6: Final answer
    x = 218,699.64

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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.