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Finding the Fourth Proportional to 922,564.71, 1,383,838.83 and 291,478.50

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Solution

The fourth proportional to 922,564.71, 1,383,838.83 and 291,478.50 is: 437,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,564.71 : 1,383,838.83 = 291,478.50 : x
  2. Step 2: Convert to fraction form
    922,564.71/1,383,838.83 = 291,478.50/x
  3. Step 3: Cross multiply
    922,564.71x = 1,383,838.83 × 291,478.50
  4. Step 4: Simplify right side
    922,564.71x = 403,359,266,410.16
  5. Step 5: Solve for x
    x = 403,359,266,410.16/922,564.71
  6. Step 6: Final answer
    x = 437,215.15

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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.