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Finding the Fourth Proportional to 284,362.20, 392,417.28 and 155,300.04

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Solution

The fourth proportional to 284,362.20, 392,417.28 and 155,300.04 is: 214,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,362.20 : 392,417.28 = 155,300.04 : x
  2. Step 2: Convert to fraction form
    284,362.20/392,417.28 = 155,300.04/x
  3. Step 3: Cross multiply
    284,362.20x = 392,417.28 × 155,300.04
  4. Step 4: Simplify right side
    284,362.20x = 60,942,419,280.69
  5. Step 5: Solve for x
    x = 60,942,419,280.69/284,362.20
  6. Step 6: Final answer
    x = 214,312.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.