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Finding the Fourth Proportional to 291,856.91, 402,549.95 and 223,101.81

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Solution

The fourth proportional to 291,856.91, 402,549.95 and 223,101.81 is: 307,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,856.91 : 402,549.95 = 223,101.81 : x
  2. Step 2: Convert to fraction form
    291,856.91/402,549.95 = 223,101.81/x
  3. Step 3: Cross multiply
    291,856.91x = 402,549.95 × 223,101.81
  4. Step 4: Simplify right side
    291,856.91x = 89,809,623,018.16
  5. Step 5: Solve for x
    x = 89,809,623,018.16/291,856.91
  6. Step 6: Final answer
    x = 307,718.00

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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.