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Finding the Fourth Proportional to 291,407.07, 402,154.16 and 162,345.47

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Solution

The fourth proportional to 291,407.07, 402,154.16 and 162,345.47 is: 224,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,407.07 : 402,154.16 = 162,345.47 : x
  2. Step 2: Convert to fraction form
    291,407.07/402,154.16 = 162,345.47/x
  3. Step 3: Cross multiply
    291,407.07x = 402,154.16 × 162,345.47
  4. Step 4: Simplify right side
    291,407.07x = 65,287,905,796.01
  5. Step 5: Solve for x
    x = 65,287,905,796.01/291,407.07
  6. Step 6: Final answer
    x = 224,043.66

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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.