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Finding the Fourth Proportional to 472,965, 652,705.46 and 258,118.91

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Solution

The fourth proportional to 472,965, 652,705.46 and 258,118.91 is: 356,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,965 : 652,705.46 = 258,118.91 : x
  2. Step 2: Convert to fraction form
    472,965/652,705.46 = 258,118.91/x
  3. Step 3: Cross multiply
    472,965x = 652,705.46 × 258,118.91
  4. Step 4: Simplify right side
    472,965x = 168,475,621,886.25
  5. Step 5: Solve for x
    x = 168,475,621,886.25/472,965
  6. Step 6: Final answer
    x = 356,211.61

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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.