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Finding the Fourth Proportional to 357,879.19, 536,825.71 and 286,470.40

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Solution

The fourth proportional to 357,879.19, 536,825.71 and 286,470.40 is: 429,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,879.19 : 536,825.71 = 286,470.40 : x
  2. Step 2: Convert to fraction form
    357,879.19/536,825.71 = 286,470.40/x
  3. Step 3: Cross multiply
    357,879.19x = 536,825.71 × 286,470.40
  4. Step 4: Simplify right side
    357,879.19x = 153,784,673,815.74
  5. Step 5: Solve for x
    x = 153,784,673,815.74/357,879.19
  6. Step 6: Final answer
    x = 429,711.14

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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.