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Finding the Fourth Proportional to 430,390.55, 645,454.53 and 345,950.48

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Solution

The fourth proportional to 430,390.55, 645,454.53 and 345,950.48 is: 518,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,390.55 : 645,454.53 = 345,950.48 : x
  2. Step 2: Convert to fraction form
    430,390.55/645,454.53 = 345,950.48/x
  3. Step 3: Cross multiply
    430,390.55x = 645,454.53 × 345,950.48
  4. Step 4: Simplify right side
    430,390.55x = 223,295,301,244.40
  5. Step 5: Solve for x
    x = 223,295,301,244.40/430,390.55
  6. Step 6: Final answer
    x = 518,820.18

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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.