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Finding the Fourth Proportional to 219,547.64, 302,864.28 and 138,839.24

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Solution

The fourth proportional to 219,547.64, 302,864.28 and 138,839.24 is: 191,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,547.64 : 302,864.28 = 138,839.24 : x
  2. Step 2: Convert to fraction form
    219,547.64/302,864.28 = 138,839.24/x
  3. Step 3: Cross multiply
    219,547.64x = 302,864.28 × 138,839.24
  4. Step 4: Simplify right side
    219,547.64x = 42,049,446,458.35
  5. Step 5: Solve for x
    x = 42,049,446,458.35/219,547.64
  6. Step 6: Final answer
    x = 191,527.66

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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.