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Finding the Fourth Proportional to 430,421.60, 645,632.40 and 377,890.40

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Solution

The fourth proportional to 430,421.60, 645,632.40 and 377,890.40 is: 566,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,421.60 : 645,632.40 = 377,890.40 : x
  2. Step 2: Convert to fraction form
    430,421.60/645,632.40 = 377,890.40/x
  3. Step 3: Cross multiply
    430,421.60x = 645,632.40 × 377,890.40
  4. Step 4: Simplify right side
    430,421.60x = 243,978,285,888.96
  5. Step 5: Solve for x
    x = 243,978,285,888.96/430,421.60
  6. Step 6: Final answer
    x = 566,835.60

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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.