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Finding the Fourth Proportional to 458,688.20, 688,032.30 and 364,209.80

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Solution

The fourth proportional to 458,688.20, 688,032.30 and 364,209.80 is: 546,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,688.20 : 688,032.30 = 364,209.80 : x
  2. Step 2: Convert to fraction form
    458,688.20/688,032.30 = 364,209.80/x
  3. Step 3: Cross multiply
    458,688.20x = 688,032.30 × 364,209.80
  4. Step 4: Simplify right side
    458,688.20x = 250,588,106,376.54
  5. Step 5: Solve for x
    x = 250,588,106,376.54/458,688.20
  6. Step 6: Final answer
    x = 546,314.70

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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.