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Finding the Fourth Proportional to 456,145.90, 684,154.05 and 156,640.30

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Solution

The fourth proportional to 456,145.90, 684,154.05 and 156,640.30 is: 234,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,145.90 : 684,154.05 = 156,640.30 : x
  2. Step 2: Convert to fraction form
    456,145.90/684,154.05 = 156,640.30/x
  3. Step 3: Cross multiply
    456,145.90x = 684,154.05 × 156,640.30
  4. Step 4: Simplify right side
    456,145.90x = 107,166,095,638.22
  5. Step 5: Solve for x
    x = 107,166,095,638.22/456,145.90
  6. Step 6: Final answer
    x = 234,938.20

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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.