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Finding the Fourth Proportional to 384,113.16, 530,303.22 and 276,959.88

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Solution

The fourth proportional to 384,113.16, 530,303.22 and 276,959.88 is: 382,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,113.16 : 530,303.22 = 276,959.88 : x
  2. Step 2: Convert to fraction form
    384,113.16/530,303.22 = 276,959.88/x
  3. Step 3: Cross multiply
    384,113.16x = 530,303.22 × 276,959.88
  4. Step 4: Simplify right side
    384,113.16x = 146,872,716,174.81
  5. Step 5: Solve for x
    x = 146,872,716,174.81/384,113.16
  6. Step 6: Final answer
    x = 382,368.35

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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.