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Finding the Fourth Proportional to 390,409.56, 584,498.70 and 365,609.16

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Solution

The fourth proportional to 390,409.56, 584,498.70 and 365,609.16 is: 547,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,409.56 : 584,498.70 = 365,609.16 : x
  2. Step 2: Convert to fraction form
    390,409.56/584,498.70 = 365,609.16/x
  3. Step 3: Cross multiply
    390,409.56x = 584,498.70 × 365,609.16
  4. Step 4: Simplify right side
    390,409.56x = 213,698,078,728.09
  5. Step 5: Solve for x
    x = 213,698,078,728.09/390,409.56
  6. Step 6: Final answer
    x = 547,368.97

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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.