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Finding the Fourth Proportional to 284,249.84, 392,277.48 and 163,430.32

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Solution

The fourth proportional to 284,249.84, 392,277.48 and 163,430.32 is: 225,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,249.84 : 392,277.48 = 163,430.32 : x
  2. Step 2: Convert to fraction form
    284,249.84/392,277.48 = 163,430.32/x
  3. Step 3: Cross multiply
    284,249.84x = 392,277.48 × 163,430.32
  4. Step 4: Simplify right side
    284,249.84x = 64,110,034,085.19
  5. Step 5: Solve for x
    x = 64,110,034,085.19/284,249.84
  6. Step 6: Final answer
    x = 225,541.14

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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.