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Finding the Fourth Proportional to 614,430.20, 921,645.30 and 314,811.20

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Solution

The fourth proportional to 614,430.20, 921,645.30 and 314,811.20 is: 472,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,430.20 : 921,645.30 = 314,811.20 : x
  2. Step 2: Convert to fraction form
    614,430.20/921,645.30 = 314,811.20/x
  3. Step 3: Cross multiply
    614,430.20x = 921,645.30 × 314,811.20
  4. Step 4: Simplify right side
    614,430.20x = 290,144,262,867.36
  5. Step 5: Solve for x
    x = 290,144,262,867.36/614,430.20
  6. Step 6: Final answer
    x = 472,216.80

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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.