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Finding the Fourth Proportional to 649,530.80, 974,443.80 and 294,646.40

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Solution

The fourth proportional to 649,530.80, 974,443.80 and 294,646.40 is: 442,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,530.80 : 974,443.80 = 294,646.40 : x
  2. Step 2: Convert to fraction form
    649,530.80/974,443.80 = 294,646.40/x
  3. Step 3: Cross multiply
    649,530.80x = 974,443.80 × 294,646.40
  4. Step 4: Simplify right side
    649,530.80x = 287,116,357,672.32
  5. Step 5: Solve for x
    x = 287,116,357,672.32/649,530.80
  6. Step 6: Final answer
    x = 442,036.56

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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.