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Finding the Fourth Proportional to 390,499.32, 585,080.30 and 213,130.78

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Solution

The fourth proportional to 390,499.32, 585,080.30 and 213,130.78 is: 319,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,499.32 : 585,080.30 = 213,130.78 : x
  2. Step 2: Convert to fraction form
    390,499.32/585,080.30 = 213,130.78/x
  3. Step 3: Cross multiply
    390,499.32x = 585,080.30 × 213,130.78
  4. Step 4: Simplify right side
    390,499.32x = 124,698,620,701.63
  5. Step 5: Solve for x
    x = 124,698,620,701.63/390,499.32
  6. Step 6: Final answer
    x = 319,331.21

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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.