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Finding the Fourth Proportional to 219,506, 328,838.28 and 130,490

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Solution

The fourth proportional to 219,506, 328,838.28 and 130,490 is: 195,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,506 : 328,838.28 = 130,490 : x
  2. Step 2: Convert to fraction form
    219,506/328,838.28 = 130,490/x
  3. Step 3: Cross multiply
    219,506x = 328,838.28 × 130,490
  4. Step 4: Simplify right side
    219,506x = 42,910,107,157.20
  5. Step 5: Solve for x
    x = 42,910,107,157.20/219,506
  6. Step 6: Final answer
    x = 195,484.89

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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.