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Finding the Fourth Proportional to 385,559.40, 578,339.10 and 148,909.80

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Solution

The fourth proportional to 385,559.40, 578,339.10 and 148,909.80 is: 223,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,559.40 : 578,339.10 = 148,909.80 : x
  2. Step 2: Convert to fraction form
    385,559.40/578,339.10 = 148,909.80/x
  3. Step 3: Cross multiply
    385,559.40x = 578,339.10 × 148,909.80
  4. Step 4: Simplify right side
    385,559.40x = 86,120,359,713.18
  5. Step 5: Solve for x
    x = 86,120,359,713.18/385,559.40
  6. Step 6: Final answer
    x = 223,364.70

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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.