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Finding the Fourth Proportional to 275,323.40, 412,985.10 and 157,225.40

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Solution

The fourth proportional to 275,323.40, 412,985.10 and 157,225.40 is: 235,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,323.40 : 412,985.10 = 157,225.40 : x
  2. Step 2: Convert to fraction form
    275,323.40/412,985.10 = 157,225.40/x
  3. Step 3: Cross multiply
    275,323.40x = 412,985.10 × 157,225.40
  4. Step 4: Simplify right side
    275,323.40x = 64,931,747,541.54
  5. Step 5: Solve for x
    x = 64,931,747,541.54/275,323.40
  6. Step 6: Final answer
    x = 235,838.10

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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.