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Finding the Fourth Proportional to 390,543, 585,872.88 and 141,283.32

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Solution

The fourth proportional to 390,543, 585,872.88 and 141,283.32 is: 211,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,543 : 585,872.88 = 141,283.32 : x
  2. Step 2: Convert to fraction form
    390,543/585,872.88 = 141,283.32/x
  3. Step 3: Cross multiply
    390,543x = 585,872.88 × 141,283.32
  4. Step 4: Simplify right side
    390,543x = 82,774,065,584.36
  5. Step 5: Solve for x
    x = 82,774,065,584.36/390,543
  6. Step 6: Final answer
    x = 211,946.10

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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.