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Finding the Fourth Proportional to 390,823.83, 585,591.80 and 358,140.33

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Solution

The fourth proportional to 390,823.83, 585,591.80 and 358,140.33 is: 536,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,823.83 : 585,591.80 = 358,140.33 : x
  2. Step 2: Convert to fraction form
    390,823.83/585,591.80 = 358,140.33/x
  3. Step 3: Cross multiply
    390,823.83x = 585,591.80 × 358,140.33
  4. Step 4: Simplify right side
    390,823.83x = 209,724,038,706.59
  5. Step 5: Solve for x
    x = 209,724,038,706.59/390,823.83
  6. Step 6: Final answer
    x = 536,620.40

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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.