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Finding the Fourth Proportional to 284,384.80, 392,448.72 and 157,069.12

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Solution

The fourth proportional to 284,384.80, 392,448.72 and 157,069.12 is: 216,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,384.80 : 392,448.72 = 157,069.12 : x
  2. Step 2: Convert to fraction form
    284,384.80/392,448.72 = 157,069.12/x
  3. Step 3: Cross multiply
    284,384.80x = 392,448.72 × 157,069.12
  4. Step 4: Simplify right side
    284,384.80x = 61,641,575,095.53
  5. Step 5: Solve for x
    x = 61,641,575,095.53/284,384.80
  6. Step 6: Final answer
    x = 216,754.11

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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.