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Finding the Fourth Proportional to 284,762.40, 392,980.02 and 157,446.20

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Solution

The fourth proportional to 284,762.40, 392,980.02 and 157,446.20 is: 217,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,762.40 : 392,980.02 = 157,446.20 : x
  2. Step 2: Convert to fraction form
    284,762.40/392,980.02 = 157,446.20/x
  3. Step 3: Cross multiply
    284,762.40x = 392,980.02 × 157,446.20
  4. Step 4: Simplify right side
    284,762.40x = 61,873,210,824.92
  5. Step 5: Solve for x
    x = 61,873,210,824.92/284,762.40
  6. Step 6: Final answer
    x = 217,280.13

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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.