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Finding the Fourth Proportional to 390,018.20, 585,027.30 and 319,159.40

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Solution

The fourth proportional to 390,018.20, 585,027.30 and 319,159.40 is: 478,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,018.20 : 585,027.30 = 319,159.40 : x
  2. Step 2: Convert to fraction form
    390,018.20/585,027.30 = 319,159.40/x
  3. Step 3: Cross multiply
    390,018.20x = 585,027.30 × 319,159.40
  4. Step 4: Simplify right side
    390,018.20x = 186,716,962,051.62
  5. Step 5: Solve for x
    x = 186,716,962,051.62/390,018.20
  6. Step 6: Final answer
    x = 478,739.10

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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.