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Finding the Fourth Proportional to 648,052.30, 970,377.45 and 457,483.60

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Solution

The fourth proportional to 648,052.30, 970,377.45 and 457,483.60 is: 685,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,052.30 : 970,377.45 = 457,483.60 : x
  2. Step 2: Convert to fraction form
    648,052.30/970,377.45 = 457,483.60/x
  3. Step 3: Cross multiply
    648,052.30x = 970,377.45 × 457,483.60
  4. Step 4: Simplify right side
    648,052.30x = 443,931,769,184.82
  5. Step 5: Solve for x
    x = 443,931,769,184.82/648,052.30
  6. Step 6: Final answer
    x = 685,024.60

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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.