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Finding the Fourth Proportional to 288,417.69, 398,014.06 and 159,355.75

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Solution

The fourth proportional to 288,417.69, 398,014.06 and 159,355.75 is: 219,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,417.69 : 398,014.06 = 159,355.75 : x
  2. Step 2: Convert to fraction form
    288,417.69/398,014.06 = 159,355.75/x
  3. Step 3: Cross multiply
    288,417.69x = 398,014.06 × 159,355.75
  4. Step 4: Simplify right side
    288,417.69x = 63,425,829,041.85
  5. Step 5: Solve for x
    x = 63,425,829,041.85/288,417.69
  6. Step 6: Final answer
    x = 219,909.64

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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.