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Finding the Fourth Proportional to 291,355.40, 402,084.06 and 176,637.62

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Solution

The fourth proportional to 291,355.40, 402,084.06 and 176,637.62 is: 243,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,355.40 : 402,084.06 = 176,637.62 : x
  2. Step 2: Convert to fraction form
    291,355.40/402,084.06 = 176,637.62/x
  3. Step 3: Cross multiply
    291,355.40x = 402,084.06 × 176,637.62
  4. Step 4: Simplify right side
    291,355.40x = 71,023,171,398.34
  5. Step 5: Solve for x
    x = 71,023,171,398.34/291,355.40
  6. Step 6: Final answer
    x = 243,768.17

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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.