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Finding the Fourth Proportional to 284,264.02, 392,284.93 and 156,939.86

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Solution

The fourth proportional to 284,264.02, 392,284.93 and 156,939.86 is: 216,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,264.02 : 392,284.93 = 156,939.86 : x
  2. Step 2: Convert to fraction form
    284,264.02/392,284.93 = 156,939.86/x
  3. Step 3: Cross multiply
    284,264.02x = 392,284.93 × 156,939.86
  4. Step 4: Simplify right side
    284,264.02x = 61,565,141,994.31
  5. Step 5: Solve for x
    x = 61,565,141,994.31/284,264.02
  6. Step 6: Final answer
    x = 216,577.33

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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.