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Finding the Fourth Proportional to 557,413, 836,258.38 and 163,429

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Solution

The fourth proportional to 557,413, 836,258.38 and 163,429 is: 245,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,413 : 836,258.38 = 163,429 : x
  2. Step 2: Convert to fraction form
    557,413/836,258.38 = 163,429/x
  3. Step 3: Cross multiply
    557,413x = 836,258.38 × 163,429
  4. Step 4: Simplify right side
    557,413x = 136,668,870,785.02
  5. Step 5: Solve for x
    x = 136,668,870,785.02/557,413
  6. Step 6: Final answer
    x = 245,184.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.