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Finding the Fourth Proportional to 386,359.88, 578,742.06 and 286,632.68

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Solution

The fourth proportional to 386,359.88, 578,742.06 and 286,632.68 is: 429,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,359.88 : 578,742.06 = 286,632.68 : x
  2. Step 2: Convert to fraction form
    386,359.88/578,742.06 = 286,632.68/x
  3. Step 3: Cross multiply
    386,359.88x = 578,742.06 × 286,632.68
  4. Step 4: Simplify right side
    386,359.88x = 165,886,387,686.52
  5. Step 5: Solve for x
    x = 165,886,387,686.52/386,359.88
  6. Step 6: Final answer
    x = 429,357.18

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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.