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Finding the Fourth Proportional to 614,148.53, 921,308.91 and 214,698.45

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Solution

The fourth proportional to 614,148.53, 921,308.91 and 214,698.45 is: 322,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,148.53 : 921,308.91 = 214,698.45 : x
  2. Step 2: Convert to fraction form
    614,148.53/921,308.91 = 214,698.45/x
  3. Step 3: Cross multiply
    614,148.53x = 921,308.91 × 214,698.45
  4. Step 4: Simplify right side
    614,148.53x = 197,803,594,948.19
  5. Step 5: Solve for x
    x = 197,803,594,948.19/614,148.53
  6. Step 6: Final answer
    x = 322,077.78

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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.