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Finding the Fourth Proportional to 390,184.02, 585,322.91 and 137,412.28

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Solution

The fourth proportional to 390,184.02, 585,322.91 and 137,412.28 is: 206,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,184.02 : 585,322.91 = 137,412.28 : x
  2. Step 2: Convert to fraction form
    390,184.02/585,322.91 = 137,412.28/x
  3. Step 3: Cross multiply
    390,184.02x = 585,322.91 × 137,412.28
  4. Step 4: Simplify right side
    390,184.02x = 80,430,556,159.22
  5. Step 5: Solve for x
    x = 80,430,556,159.22/390,184.02
  6. Step 6: Final answer
    x = 206,134.93

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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.