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Finding the Fourth Proportional to 280,484.79, 387,102.27 and 157,981.20

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Solution

The fourth proportional to 280,484.79, 387,102.27 and 157,981.20 is: 218,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,484.79 : 387,102.27 = 157,981.20 : x
  2. Step 2: Convert to fraction form
    280,484.79/387,102.27 = 157,981.20/x
  3. Step 3: Cross multiply
    280,484.79x = 387,102.27 × 157,981.20
  4. Step 4: Simplify right side
    280,484.79x = 61,154,881,137.32
  5. Step 5: Solve for x
    x = 61,154,881,137.32/280,484.79
  6. Step 6: Final answer
    x = 218,032.79

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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.