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Finding the Fourth Proportional to 405,989.76, 609,681.60 and 249,139.20

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Solution

The fourth proportional to 405,989.76, 609,681.60 and 249,139.20 is: 374,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,989.76 : 609,681.60 = 249,139.20 : x
  2. Step 2: Convert to fraction form
    405,989.76/609,681.60 = 249,139.20/x
  3. Step 3: Cross multiply
    405,989.76x = 609,681.60 × 249,139.20
  4. Step 4: Simplify right side
    405,989.76x = 151,895,586,078.72
  5. Step 5: Solve for x
    x = 151,895,586,078.72/405,989.76
  6. Step 6: Final answer
    x = 374,136.50

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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.