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Finding the Fourth Proportional to 651,648,672.40, 977,473,008.60 and 361,411,027.60

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Solution

The fourth proportional to 651,648,672.40, 977,473,008.60 and 361,411,027.60 is: 542,116,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,648,672.40 : 977,473,008.60 = 361,411,027.60 : x
  2. Step 2: Convert to fraction form
    651,648,672.40/977,473,008.60 = 361,411,027.60/x
  3. Step 3: Cross multiply
    651,648,672.40x = 977,473,008.60 × 361,411,027.60
  4. Step 4: Simplify right side
    651,648,672.40x = 353,269,524,489,389,696
  5. Step 5: Solve for x
    x = 353,269,524,489,389,696/651,648,672.40
  6. Step 6: Final answer
    x = 542,116,541.40

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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.