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Finding the Fourth Proportional to 286,763.90, 429,304.70 and 201,077.64

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Solution

The fourth proportional to 286,763.90, 429,304.70 and 201,077.64 is: 301,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,763.90 : 429,304.70 = 201,077.64 : x
  2. Step 2: Convert to fraction form
    286,763.90/429,304.70 = 201,077.64/x
  3. Step 3: Cross multiply
    286,763.90x = 429,304.70 × 201,077.64
  4. Step 4: Simplify right side
    286,763.90x = 86,323,575,916.91
  5. Step 5: Solve for x
    x = 86,323,575,916.91/286,763.90
  6. Step 6: Final answer
    x = 301,026.65

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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.