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Finding the Fourth Proportional to 291,504.47, 402,288.63 and 162,443.12

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Solution

The fourth proportional to 291,504.47, 402,288.63 and 162,443.12 is: 224,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,504.47 : 402,288.63 = 162,443.12 : x
  2. Step 2: Convert to fraction form
    291,504.47/402,288.63 = 162,443.12/x
  3. Step 3: Cross multiply
    291,504.47x = 402,288.63 × 162,443.12
  4. Step 4: Simplify right side
    291,504.47x = 65,349,019,839.99
  5. Step 5: Solve for x
    x = 65,349,019,839.99/291,504.47
  6. Step 6: Final answer
    x = 224,178.45

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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.