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Finding the Fourth Proportional to 390,657.40, 585,909.30 and 128,001.40

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Solution

The fourth proportional to 390,657.40, 585,909.30 and 128,001.40 is: 191,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,657.40 : 585,909.30 = 128,001.40 : x
  2. Step 2: Convert to fraction form
    390,657.40/585,909.30 = 128,001.40/x
  3. Step 3: Cross multiply
    390,657.40x = 585,909.30 × 128,001.40
  4. Step 4: Simplify right side
    390,657.40x = 74,997,210,673.02
  5. Step 5: Solve for x
    x = 74,997,210,673.02/390,657.40
  6. Step 6: Final answer
    x = 191,976.94

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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.