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Finding the Fourth Proportional to 486,714.19, 730,258.25 and 342,758.16

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Solution

The fourth proportional to 486,714.19, 730,258.25 and 342,758.16 is: 514,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,714.19 : 730,258.25 = 342,758.16 : x
  2. Step 2: Convert to fraction form
    486,714.19/730,258.25 = 342,758.16/x
  3. Step 3: Cross multiply
    486,714.19x = 730,258.25 × 342,758.16
  4. Step 4: Simplify right side
    486,714.19x = 250,301,974,094.82
  5. Step 5: Solve for x
    x = 250,301,974,094.82/486,714.19
  6. Step 6: Final answer
    x = 514,268.91

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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.