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Finding the Fourth Proportional to 430,572.61, 594,127 and 258,454.09

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Solution

The fourth proportional to 430,572.61, 594,127 and 258,454.09 is: 356,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,572.61 : 594,127 = 258,454.09 : x
  2. Step 2: Convert to fraction form
    430,572.61/594,127 = 258,454.09/x
  3. Step 3: Cross multiply
    430,572.61x = 594,127 × 258,454.09
  4. Step 4: Simplify right side
    430,572.61x = 153,554,553,129.43
  5. Step 5: Solve for x
    x = 153,554,553,129.43/430,572.61
  6. Step 6: Final answer
    x = 356,628.71

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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.