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Finding the Fourth Proportional to 530,681.84, 796,020.96 and 215,138

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Solution

The fourth proportional to 530,681.84, 796,020.96 and 215,138 is: 322,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,681.84 : 796,020.96 = 215,138 : x
  2. Step 2: Convert to fraction form
    530,681.84/796,020.96 = 215,138/x
  3. Step 3: Cross multiply
    530,681.84x = 796,020.96 × 215,138
  4. Step 4: Simplify right side
    530,681.84x = 171,254,357,292.48
  5. Step 5: Solve for x
    x = 171,254,357,292.48/530,681.84
  6. Step 6: Final answer
    x = 322,706.27

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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.