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Finding the Fourth Proportional to 284,552.58, 392,653.10 and 157,210.86

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Solution

The fourth proportional to 284,552.58, 392,653.10 and 157,210.86 is: 216,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,552.58 : 392,653.10 = 157,210.86 : x
  2. Step 2: Convert to fraction form
    284,552.58/392,653.10 = 157,210.86/x
  3. Step 3: Cross multiply
    284,552.58x = 392,653.10 × 157,210.86
  4. Step 4: Simplify right side
    284,552.58x = 61,729,331,532.67
  5. Step 5: Solve for x
    x = 61,729,331,532.67/284,552.58
  6. Step 6: Final answer
    x = 216,934.71

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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.