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Finding the Fourth Proportional to 380,407.83, 570,397.98 and 260,599.87

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Solution

The fourth proportional to 380,407.83, 570,397.98 and 260,599.87 is: 390,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,407.83 : 570,397.98 = 260,599.87 : x
  2. Step 2: Convert to fraction form
    380,407.83/570,397.98 = 260,599.87/x
  3. Step 3: Cross multiply
    380,407.83x = 570,397.98 × 260,599.87
  4. Step 4: Simplify right side
    380,407.83x = 148,645,639,436.26
  5. Step 5: Solve for x
    x = 148,645,639,436.26/380,407.83
  6. Step 6: Final answer
    x = 390,753.36

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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.