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Finding the Fourth Proportional to 291,802.67, 402,690.75 and 164,478.26

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Solution

The fourth proportional to 291,802.67, 402,690.75 and 164,478.26 is: 226,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,802.67 : 402,690.75 = 164,478.26 : x
  2. Step 2: Convert to fraction form
    291,802.67/402,690.75 = 164,478.26/x
  3. Step 3: Cross multiply
    291,802.67x = 402,690.75 × 164,478.26
  4. Step 4: Simplify right side
    291,802.67x = 66,233,873,878.10
  5. Step 5: Solve for x
    x = 66,233,873,878.10/291,802.67
  6. Step 6: Final answer
    x = 226,981.73

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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.