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Finding the Fourth Proportional to 689,095.52, 950,875.71 and 413,438.75

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Solution

The fourth proportional to 689,095.52, 950,875.71 and 413,438.75 is: 570,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,095.52 : 950,875.71 = 413,438.75 : x
  2. Step 2: Convert to fraction form
    689,095.52/950,875.71 = 413,438.75/x
  3. Step 3: Cross multiply
    689,095.52x = 950,875.71 × 413,438.75
  4. Step 4: Simplify right side
    689,095.52x = 393,128,862,880.57
  5. Step 5: Solve for x
    x = 393,128,862,880.57/689,095.52
  6. Step 6: Final answer
    x = 570,499.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.