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Finding the Fourth Proportional to 291,931.95, 402,866.34 and 162,870.44

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Solution

The fourth proportional to 291,931.95, 402,866.34 and 162,870.44 is: 224,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,931.95 : 402,866.34 = 162,870.44 : x
  2. Step 2: Convert to fraction form
    291,931.95/402,866.34 = 162,870.44/x
  3. Step 3: Cross multiply
    291,931.95x = 402,866.34 × 162,870.44
  4. Step 4: Simplify right side
    291,931.95x = 65,615,019,621.33
  5. Step 5: Solve for x
    x = 65,615,019,621.33/291,931.95
  6. Step 6: Final answer
    x = 224,761.35

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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.