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Finding the Fourth Proportional to 390,088.62, 585,154.80 and 109,584

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Solution

The fourth proportional to 390,088.62, 585,154.80 and 109,584 is: 164,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,088.62 : 585,154.80 = 109,584 : x
  2. Step 2: Convert to fraction form
    390,088.62/585,154.80 = 109,584/x
  3. Step 3: Cross multiply
    390,088.62x = 585,154.80 × 109,584
  4. Step 4: Simplify right side
    390,088.62x = 64,123,603,603.20
  5. Step 5: Solve for x
    x = 64,123,603,603.20/390,088.62
  6. Step 6: Final answer
    x = 164,382.14

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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.