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Finding the Fourth Proportional to 514,980.65, 710,746.84 and 285,588.96

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Solution

The fourth proportional to 514,980.65, 710,746.84 and 285,588.96 is: 394,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,980.65 : 710,746.84 = 285,588.96 : x
  2. Step 2: Convert to fraction form
    514,980.65/710,746.84 = 285,588.96/x
  3. Step 3: Cross multiply
    514,980.65x = 710,746.84 × 285,588.96
  4. Step 4: Simplify right side
    514,980.65x = 202,981,450,858.89
  5. Step 5: Solve for x
    x = 202,981,450,858.89/514,980.65
  6. Step 6: Final answer
    x = 394,153.55

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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.