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Finding the Fourth Proportional to 259,518.88, 358,104 and 152,064.28

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Solution

The fourth proportional to 259,518.88, 358,104 and 152,064.28 is: 209,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,518.88 : 358,104 = 152,064.28 : x
  2. Step 2: Convert to fraction form
    259,518.88/358,104 = 152,064.28/x
  3. Step 3: Cross multiply
    259,518.88x = 358,104 × 152,064.28
  4. Step 4: Simplify right side
    259,518.88x = 54,454,826,925.12
  5. Step 5: Solve for x
    x = 54,454,826,925.12/259,518.88
  6. Step 6: Final answer
    x = 209,829.92

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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.