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Finding the Fourth Proportional to 482,987,781.60, 724,481,672.40 and 430,583,762.40

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Solution

The fourth proportional to 482,987,781.60, 724,481,672.40 and 430,583,762.40 is: 645,875,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,987,781.60 : 724,481,672.40 = 430,583,762.40 : x
  2. Step 2: Convert to fraction form
    482,987,781.60/724,481,672.40 = 430,583,762.40/x
  3. Step 3: Cross multiply
    482,987,781.60x = 724,481,672.40 × 430,583,762.40
  4. Step 4: Simplify right side
    482,987,781.60x = 311,950,044,291,836,224
  5. Step 5: Solve for x
    x = 311,950,044,291,836,224/482,987,781.60
  6. Step 6: Final answer
    x = 645,875,643.60

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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.