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Finding the Fourth Proportional to 648,056.80, 970,384.20 and 457,488.10

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Solution

The fourth proportional to 648,056.80, 970,384.20 and 457,488.10 is: 685,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,056.80 : 970,384.20 = 457,488.10 : x
  2. Step 2: Convert to fraction form
    648,056.80/970,384.20 = 457,488.10/x
  3. Step 3: Cross multiply
    648,056.80x = 970,384.20 × 457,488.10
  4. Step 4: Simplify right side
    648,056.80x = 443,939,223,928.02
  5. Step 5: Solve for x
    x = 443,939,223,928.02/648,056.80
  6. Step 6: Final answer
    x = 685,031.35

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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.