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Finding the Fourth Proportional to 610,476.80, 915,813.12 and 294,958.40

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Solution

The fourth proportional to 610,476.80, 915,813.12 and 294,958.40 is: 442,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,476.80 : 915,813.12 = 294,958.40 : x
  2. Step 2: Convert to fraction form
    610,476.80/915,813.12 = 294,958.40/x
  3. Step 3: Cross multiply
    610,476.80x = 915,813.12 × 294,958.40
  4. Step 4: Simplify right side
    610,476.80x = 270,126,772,574.21
  5. Step 5: Solve for x
    x = 270,126,772,574.21/610,476.80
  6. Step 6: Final answer
    x = 442,484.91

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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.