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Finding the Fourth Proportional to 390,070.40, 585,105.60 and 212,923.40

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Solution

The fourth proportional to 390,070.40, 585,105.60 and 212,923.40 is: 319,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,070.40 : 585,105.60 = 212,923.40 : x
  2. Step 2: Convert to fraction form
    390,070.40/585,105.60 = 212,923.40/x
  3. Step 3: Cross multiply
    390,070.40x = 585,105.60 × 212,923.40
  4. Step 4: Simplify right side
    390,070.40x = 124,582,673,711.04
  5. Step 5: Solve for x
    x = 124,582,673,711.04/390,070.40
  6. Step 6: Final answer
    x = 319,385.10

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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.