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Finding the Fourth Proportional to 292,114.05, 403,118.58 and 157,978.05

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Solution

The fourth proportional to 292,114.05, 403,118.58 and 157,978.05 is: 218,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,114.05 : 403,118.58 = 157,978.05 : x
  2. Step 2: Convert to fraction form
    292,114.05/403,118.58 = 157,978.05/x
  3. Step 3: Cross multiply
    292,114.05x = 403,118.58 × 157,978.05
  4. Step 4: Simplify right side
    292,114.05x = 63,683,887,187.17
  5. Step 5: Solve for x
    x = 63,683,887,187.17/292,114.05
  6. Step 6: Final answer
    x = 218,010.35

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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.