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Finding the Fourth Proportional to 664,953.80, 997,430.70 and 462,000.20

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Solution

The fourth proportional to 664,953.80, 997,430.70 and 462,000.20 is: 693,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,953.80 : 997,430.70 = 462,000.20 : x
  2. Step 2: Convert to fraction form
    664,953.80/997,430.70 = 462,000.20/x
  3. Step 3: Cross multiply
    664,953.80x = 997,430.70 × 462,000.20
  4. Step 4: Simplify right side
    664,953.80x = 460,813,182,886.14
  5. Step 5: Solve for x
    x = 460,813,182,886.14/664,953.80
  6. Step 6: Final answer
    x = 693,000.30

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Similar ratio
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1.5x scale

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.