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Finding the Fourth Proportional to 458,421.40, 687,632.10 and 261,813.40

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Solution

The fourth proportional to 458,421.40, 687,632.10 and 261,813.40 is: 392,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,421.40 : 687,632.10 = 261,813.40 : x
  2. Step 2: Convert to fraction form
    458,421.40/687,632.10 = 261,813.40/x
  3. Step 3: Cross multiply
    458,421.40x = 687,632.10 × 261,813.40
  4. Step 4: Simplify right side
    458,421.40x = 180,031,298,050.14
  5. Step 5: Solve for x
    x = 180,031,298,050.14/458,421.40
  6. Step 6: Final answer
    x = 392,720.10

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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.