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Finding the Fourth Proportional to 285,152.02, 393,497.40 and 157,820.02

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Solution

The fourth proportional to 285,152.02, 393,497.40 and 157,820.02 is: 217,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,152.02 : 393,497.40 = 157,820.02 : x
  2. Step 2: Convert to fraction form
    285,152.02/393,497.40 = 157,820.02/x
  3. Step 3: Cross multiply
    285,152.02x = 393,497.40 × 157,820.02
  4. Step 4: Simplify right side
    285,152.02x = 62,101,765,570.46
  5. Step 5: Solve for x
    x = 62,101,765,570.46/285,152.02
  6. Step 6: Final answer
    x = 217,784.77

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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.