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Finding the Fourth Proportional to 390,821.60, 586,232.40 and 354,663.20

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Solution

The fourth proportional to 390,821.60, 586,232.40 and 354,663.20 is: 531,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,821.60 : 586,232.40 = 354,663.20 : x
  2. Step 2: Convert to fraction form
    390,821.60/586,232.40 = 354,663.20/x
  3. Step 3: Cross multiply
    390,821.60x = 586,232.40 × 354,663.20
  4. Step 4: Simplify right side
    390,821.60x = 207,915,058,927.68
  5. Step 5: Solve for x
    x = 207,915,058,927.68/390,821.60
  6. Step 6: Final answer
    x = 531,994.80

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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.