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Finding the Fourth Proportional to 284,202.99, 392,200.47 and 156,878.58

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Solution

The fourth proportional to 284,202.99, 392,200.47 and 156,878.58 is: 216,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,202.99 : 392,200.47 = 156,878.58 : x
  2. Step 2: Convert to fraction form
    284,202.99/392,200.47 = 156,878.58/x
  3. Step 3: Cross multiply
    284,202.99x = 392,200.47 × 156,878.58
  4. Step 4: Simplify right side
    284,202.99x = 61,527,852,808.93
  5. Step 5: Solve for x
    x = 61,527,852,808.93/284,202.99
  6. Step 6: Final answer
    x = 216,492.63

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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.