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Finding the Fourth Proportional to 426,455.42, 639,746.32 and 142,053.08

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Solution

The fourth proportional to 426,455.42, 639,746.32 and 142,053.08 is: 213,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,455.42 : 639,746.32 = 142,053.08 : x
  2. Step 2: Convert to fraction form
    426,455.42/639,746.32 = 142,053.08/x
  3. Step 3: Cross multiply
    426,455.42x = 639,746.32 × 142,053.08
  4. Step 4: Simplify right side
    426,455.42x = 90,877,935,174.67
  5. Step 5: Solve for x
    x = 90,877,935,174.67/426,455.42
  6. Step 6: Final answer
    x = 213,100.67

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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.