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Finding the Fourth Proportional to 292,102.70, 438,348.45 and 165,742.70

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Solution

The fourth proportional to 292,102.70, 438,348.45 and 165,742.70 is: 248,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,102.70 : 438,348.45 = 165,742.70 : x
  2. Step 2: Convert to fraction form
    292,102.70/438,348.45 = 165,742.70/x
  3. Step 3: Cross multiply
    292,102.70x = 438,348.45 × 165,742.70
  4. Step 4: Simplify right side
    292,102.70x = 72,653,055,643.82
  5. Step 5: Solve for x
    x = 72,653,055,643.82/292,102.70
  6. Step 6: Final answer
    x = 248,724.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.