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Finding the Fourth Proportional to 231,478.32, 346,820.64 and 155,434.32

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Solution

The fourth proportional to 231,478.32, 346,820.64 and 155,434.32 is: 232,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,478.32 : 346,820.64 = 155,434.32 : x
  2. Step 2: Convert to fraction form
    231,478.32/346,820.64 = 155,434.32/x
  3. Step 3: Cross multiply
    231,478.32x = 346,820.64 × 155,434.32
  4. Step 4: Simplify right side
    231,478.32x = 53,907,830,340.36
  5. Step 5: Solve for x
    x = 53,907,830,340.36/231,478.32
  6. Step 6: Final answer
    x = 232,885.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.