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Finding the Fourth Proportional to 385,280.81, 531,658.62 and 215,482.13

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Solution

The fourth proportional to 385,280.81, 531,658.62 and 215,482.13 is: 297,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,280.81 : 531,658.62 = 215,482.13 : x
  2. Step 2: Convert to fraction form
    385,280.81/531,658.62 = 215,482.13/x
  3. Step 3: Cross multiply
    385,280.81x = 531,658.62 × 215,482.13
  4. Step 4: Simplify right side
    385,280.81x = 114,562,929,212.17
  5. Step 5: Solve for x
    x = 114,562,929,212.17/385,280.81
  6. Step 6: Final answer
    x = 297,349.17

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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.