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Finding the Fourth Proportional to 287,266.26, 430,714.30 and 137,502.93

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Solution

The fourth proportional to 287,266.26, 430,714.30 and 137,502.93 is: 206,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,266.26 : 430,714.30 = 137,502.93 : x
  2. Step 2: Convert to fraction form
    287,266.26/430,714.30 = 137,502.93/x
  3. Step 3: Cross multiply
    287,266.26x = 430,714.30 × 137,502.93
  4. Step 4: Simplify right side
    287,266.26x = 59,224,478,242.90
  5. Step 5: Solve for x
    x = 59,224,478,242.90/287,266.26
  6. Step 6: Final answer
    x = 206,165.80

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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.