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Finding the Fourth Proportional to 488,378.40, 732,567.60 and 299,421.60

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Solution

The fourth proportional to 488,378.40, 732,567.60 and 299,421.60 is: 449,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,378.40 : 732,567.60 = 299,421.60 : x
  2. Step 2: Convert to fraction form
    488,378.40/732,567.60 = 299,421.60/x
  3. Step 3: Cross multiply
    488,378.40x = 732,567.60 × 299,421.60
  4. Step 4: Simplify right side
    488,378.40x = 219,346,562,900.16
  5. Step 5: Solve for x
    x = 219,346,562,900.16/488,378.40
  6. Step 6: Final answer
    x = 449,132.40

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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.