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Finding the Fourth Proportional to 291,421.61, 402,182.41 and 162,368.57

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Solution

The fourth proportional to 291,421.61, 402,182.41 and 162,368.57 is: 224,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,421.61 : 402,182.41 = 162,368.57 : x
  2. Step 2: Convert to fraction form
    291,421.61/402,182.41 = 162,368.57/x
  3. Step 3: Cross multiply
    291,421.61x = 402,182.41 × 162,368.57
  4. Step 4: Simplify right side
    291,421.61x = 65,301,780,374.02
  5. Step 5: Solve for x
    x = 65,301,780,374.02/291,421.61
  6. Step 6: Final answer
    x = 224,080.09

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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.