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Finding the Fourth Proportional to 288,117.34, 397,710.88 and 216,703.58

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Solution

The fourth proportional to 288,117.34, 397,710.88 and 216,703.58 is: 299,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,117.34 : 397,710.88 = 216,703.58 : x
  2. Step 2: Convert to fraction form
    288,117.34/397,710.88 = 216,703.58/x
  3. Step 3: Cross multiply
    288,117.34x = 397,710.88 × 216,703.58
  4. Step 4: Simplify right side
    288,117.34x = 86,185,368,970.64
  5. Step 5: Solve for x
    x = 86,185,368,970.64/288,117.34
  6. Step 6: Final answer
    x = 299,132.88

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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.