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Finding the Fourth Proportional to 390,411.56, 584,501.70 and 365,611.16

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Solution

The fourth proportional to 390,411.56, 584,501.70 and 365,611.16 is: 547,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,411.56 : 584,501.70 = 365,611.16 : x
  2. Step 2: Convert to fraction form
    390,411.56/584,501.70 = 365,611.16/x
  3. Step 3: Cross multiply
    390,411.56x = 584,501.70 × 365,611.16
  4. Step 4: Simplify right side
    390,411.56x = 213,700,344,558.97
  5. Step 5: Solve for x
    x = 213,700,344,558.97/390,411.56
  6. Step 6: Final answer
    x = 547,371.97

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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.