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Finding the Fourth Proportional to 515,038.66, 710,754.93 and 285,612.10

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Solution

The fourth proportional to 515,038.66, 710,754.93 and 285,612.10 is: 394,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,038.66 : 710,754.93 = 285,612.10 : x
  2. Step 2: Convert to fraction form
    515,038.66/710,754.93 = 285,612.10/x
  3. Step 3: Cross multiply
    515,038.66x = 710,754.93 × 285,612.10
  4. Step 4: Simplify right side
    515,038.66x = 203,000,208,142.65
  5. Step 5: Solve for x
    x = 203,000,208,142.65/515,038.66
  6. Step 6: Final answer
    x = 394,145.57

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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.